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Finding the Fourth Proportional to 590.60, 885.98 and 574.76

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Solution

The fourth proportional to 590.60, 885.98 and 574.76 is: 862.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.60 : 885.98 = 574.76 : x
  2. Step 2: Convert to fraction form
    590.60/885.98 = 574.76/x
  3. Step 3: Cross multiply
    590.60x = 885.98 × 574.76
  4. Step 4: Simplify right side
    590.60x = 509,225.86
  5. Step 5: Solve for x
    x = 509,225.86/590.60
  6. Step 6: Final answer
    x = 862.22

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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.