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Finding the Fourth Proportional to 502.84, 754.28 and 297

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Solution

The fourth proportional to 502.84, 754.28 and 297 is: 445.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.84 : 754.28 = 297 : x
  2. Step 2: Convert to fraction form
    502.84/754.28 = 297/x
  3. Step 3: Cross multiply
    502.84x = 754.28 × 297
  4. Step 4: Simplify right side
    502.84x = 224,021.16
  5. Step 5: Solve for x
    x = 224,021.16/502.84
  6. Step 6: Final answer
    x = 445.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.