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Finding the Fourth Proportional to 582.24, 874.04 and 568.32

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Solution

The fourth proportional to 582.24, 874.04 and 568.32 is: 853.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.24 : 874.04 = 568.32 : x
  2. Step 2: Convert to fraction form
    582.24/874.04 = 568.32/x
  3. Step 3: Cross multiply
    582.24x = 874.04 × 568.32
  4. Step 4: Simplify right side
    582.24x = 496,734.41
  5. Step 5: Solve for x
    x = 496,734.41/582.24
  6. Step 6: Final answer
    x = 853.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.