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Finding the Fourth Proportional to 574.48, 859.68 and 466

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Solution

The fourth proportional to 574.48, 859.68 and 466 is: 697.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.48 : 859.68 = 466 : x
  2. Step 2: Convert to fraction form
    574.48/859.68 = 466/x
  3. Step 3: Cross multiply
    574.48x = 859.68 × 466
  4. Step 4: Simplify right side
    574.48x = 400,610.88
  5. Step 5: Solve for x
    x = 400,610.88/574.48
  6. Step 6: Final answer
    x = 697.35

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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.