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Finding the Fourth Proportional to 592.25, 888.59 and 429.65

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Solution

The fourth proportional to 592.25, 888.59 and 429.65 is: 644.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.25 : 888.59 = 429.65 : x
  2. Step 2: Convert to fraction form
    592.25/888.59 = 429.65/x
  3. Step 3: Cross multiply
    592.25x = 888.59 × 429.65
  4. Step 4: Simplify right side
    592.25x = 381,780.55
  5. Step 5: Solve for x
    x = 381,780.55/592.25
  6. Step 6: Final answer
    x = 644.63

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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.