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Finding the Fourth Proportional to 585.42, 808.26 and 364.70

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Solution

The fourth proportional to 585.42, 808.26 and 364.70 is: 503.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.42 : 808.26 = 364.70 : x
  2. Step 2: Convert to fraction form
    585.42/808.26 = 364.70/x
  3. Step 3: Cross multiply
    585.42x = 808.26 × 364.70
  4. Step 4: Simplify right side
    585.42x = 294,772.42
  5. Step 5: Solve for x
    x = 294,772.42/585.42
  6. Step 6: Final answer
    x = 503.52

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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.