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Finding the Fourth Proportional to 582.88, 875.58 and 566.68

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Solution

The fourth proportional to 582.88, 875.58 and 566.68 is: 851.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.88 : 875.58 = 566.68 : x
  2. Step 2: Convert to fraction form
    582.88/875.58 = 566.68/x
  3. Step 3: Cross multiply
    582.88x = 875.58 × 566.68
  4. Step 4: Simplify right side
    582.88x = 496,173.67
  5. Step 5: Solve for x
    x = 496,173.67/582.88
  6. Step 6: Final answer
    x = 851.24

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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.