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Finding the Fourth Proportional to 584.64, 882.24 and 566.40

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Solution

The fourth proportional to 584.64, 882.24 and 566.40 is: 854.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.64 : 882.24 = 566.40 : x
  2. Step 2: Convert to fraction form
    584.64/882.24 = 566.40/x
  3. Step 3: Cross multiply
    584.64x = 882.24 × 566.40
  4. Step 4: Simplify right side
    584.64x = 499,700.74
  5. Step 5: Solve for x
    x = 499,700.74/584.64
  6. Step 6: Final answer
    x = 854.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.