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Finding the Fourth Proportional to 585.62, 808.16 and 352.76

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Solution

The fourth proportional to 585.62, 808.16 and 352.76 is: 486.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.62 : 808.16 = 352.76 : x
  2. Step 2: Convert to fraction form
    585.62/808.16 = 352.76/x
  3. Step 3: Cross multiply
    585.62x = 808.16 × 352.76
  4. Step 4: Simplify right side
    585.62x = 285,086.52
  5. Step 5: Solve for x
    x = 285,086.52/585.62
  6. Step 6: Final answer
    x = 486.81

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Find fourth proportional to 292.81, 404.08 and 176.38
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.