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Finding the Fourth Proportional to 585.71, 808.29 and 337.06

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Solution

The fourth proportional to 585.71, 808.29 and 337.06 is: 465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.71 : 808.29 = 337.06 : x
  2. Step 2: Convert to fraction form
    585.71/808.29 = 337.06/x
  3. Step 3: Cross multiply
    585.71x = 808.29 × 337.06
  4. Step 4: Simplify right side
    585.71x = 272,438.19
  5. Step 5: Solve for x
    x = 272,438.19/585.71
  6. Step 6: Final answer
    x = 465.14

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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.