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Finding the Fourth Proportional to 624.05, 934.26 and 585.25

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Solution

The fourth proportional to 624.05, 934.26 and 585.25 is: 876.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.05 : 934.26 = 585.25 : x
  2. Step 2: Convert to fraction form
    624.05/934.26 = 585.25/x
  3. Step 3: Cross multiply
    624.05x = 934.26 × 585.25
  4. Step 4: Simplify right side
    624.05x = 546,775.41
  5. Step 5: Solve for x
    x = 546,775.41/624.05
  6. Step 6: Final answer
    x = 876.17

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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.