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Finding the Fourth Proportional to 585.76, 808.34 and 337.08

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Solution

The fourth proportional to 585.76, 808.34 and 337.08 is: 465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.76 : 808.34 = 337.08 : x
  2. Step 2: Convert to fraction form
    585.76/808.34 = 337.08/x
  3. Step 3: Cross multiply
    585.76x = 808.34 × 337.08
  4. Step 4: Simplify right side
    585.76x = 272,472.05
  5. Step 5: Solve for x
    x = 272,472.05/585.76
  6. Step 6: Final answer
    x = 465.16

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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.