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Finding the Fourth Proportional to 590.46, 885.88 and 425.62

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Solution

The fourth proportional to 590.46, 885.88 and 425.62 is: 638.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.46 : 885.88 = 425.62 : x
  2. Step 2: Convert to fraction form
    590.46/885.88 = 425.62/x
  3. Step 3: Cross multiply
    590.46x = 885.88 × 425.62
  4. Step 4: Simplify right side
    590.46x = 377,048.25
  5. Step 5: Solve for x
    x = 377,048.25/590.46
  6. Step 6: Final answer
    x = 638.57

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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.