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Finding the Fourth Proportional to 337.31, 507.93 and 286.13

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Solution

The fourth proportional to 337.31, 507.93 and 286.13 is: 430.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.31 : 507.93 = 286.13 : x
  2. Step 2: Convert to fraction form
    337.31/507.93 = 286.13/x
  3. Step 3: Cross multiply
    337.31x = 507.93 × 286.13
  4. Step 4: Simplify right side
    337.31x = 145,332.58
  5. Step 5: Solve for x
    x = 145,332.58/337.31
  6. Step 6: Final answer
    x = 430.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.