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Finding the Fourth Proportional to 337.10, 503.17 and 290.93

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Solution

The fourth proportional to 337.10, 503.17 and 290.93 is: 434.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.10 : 503.17 = 290.93 : x
  2. Step 2: Convert to fraction form
    337.10/503.17 = 290.93/x
  3. Step 3: Cross multiply
    337.10x = 503.17 × 290.93
  4. Step 4: Simplify right side
    337.10x = 146,387.25
  5. Step 5: Solve for x
    x = 146,387.25/337.10
  6. Step 6: Final answer
    x = 434.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.