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Finding the Fourth Proportional to 502.34, 753.51 and 374.18

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Solution

The fourth proportional to 502.34, 753.51 and 374.18 is: 561.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.34 : 753.51 = 374.18 : x
  2. Step 2: Convert to fraction form
    502.34/753.51 = 374.18/x
  3. Step 3: Cross multiply
    502.34x = 753.51 × 374.18
  4. Step 4: Simplify right side
    502.34x = 281,948.37
  5. Step 5: Solve for x
    x = 281,948.37/502.34
  6. Step 6: Final answer
    x = 561.27

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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.