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Finding the Fourth Proportional to 503.32, 693.42 and 372.16

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Solution

The fourth proportional to 503.32, 693.42 and 372.16 is: 512.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.32 : 693.42 = 372.16 : x
  2. Step 2: Convert to fraction form
    503.32/693.42 = 372.16/x
  3. Step 3: Cross multiply
    503.32x = 693.42 × 372.16
  4. Step 4: Simplify right side
    503.32x = 258,063.19
  5. Step 5: Solve for x
    x = 258,063.19/503.32
  6. Step 6: Final answer
    x = 512.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.