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Finding the Fourth Proportional to 575.42, 862.80 and 507.08

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Solution

The fourth proportional to 575.42, 862.80 and 507.08 is: 760.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.42 : 862.80 = 507.08 : x
  2. Step 2: Convert to fraction form
    575.42/862.80 = 507.08/x
  3. Step 3: Cross multiply
    575.42x = 862.80 × 507.08
  4. Step 4: Simplify right side
    575.42x = 437,508.62
  5. Step 5: Solve for x
    x = 437,508.62/575.42
  6. Step 6: Final answer
    x = 760.33

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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.