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Finding the Fourth Proportional to 337.16, 503.29 and 296.16

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Solution

The fourth proportional to 337.16, 503.29 and 296.16 is: 442.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.16 : 503.29 = 296.16 : x
  2. Step 2: Convert to fraction form
    337.16/503.29 = 296.16/x
  3. Step 3: Cross multiply
    337.16x = 503.29 × 296.16
  4. Step 4: Simplify right side
    337.16x = 149,053.89
  5. Step 5: Solve for x
    x = 149,053.89/337.16
  6. Step 6: Final answer
    x = 442.08

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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.