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Finding the Fourth Proportional to 575.08, 861.02 and 459.72

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Solution

The fourth proportional to 575.08, 861.02 and 459.72 is: 688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.08 : 861.02 = 459.72 : x
  2. Step 2: Convert to fraction form
    575.08/861.02 = 459.72/x
  3. Step 3: Cross multiply
    575.08x = 861.02 × 459.72
  4. Step 4: Simplify right side
    575.08x = 395,828.11
  5. Step 5: Solve for x
    x = 395,828.11/575.08
  6. Step 6: Final answer
    x = 688.30

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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.