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Finding the Fourth Proportional to 572.32, 858.09 and 462.76

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Solution

The fourth proportional to 572.32, 858.09 and 462.76 is: 693.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.32 : 858.09 = 462.76 : x
  2. Step 2: Convert to fraction form
    572.32/858.09 = 462.76/x
  3. Step 3: Cross multiply
    572.32x = 858.09 × 462.76
  4. Step 4: Simplify right side
    572.32x = 397,094.15
  5. Step 5: Solve for x
    x = 397,094.15/572.32
  6. Step 6: Final answer
    x = 693.84

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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.