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Finding the Fourth Proportional to 652.07, 977.24 and 391.23

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Solution

The fourth proportional to 652.07, 977.24 and 391.23 is: 586.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.07 : 977.24 = 391.23 : x
  2. Step 2: Convert to fraction form
    652.07/977.24 = 391.23/x
  3. Step 3: Cross multiply
    652.07x = 977.24 × 391.23
  4. Step 4: Simplify right side
    652.07x = 382,325.61
  5. Step 5: Solve for x
    x = 382,325.61/652.07
  6. Step 6: Final answer
    x = 586.33

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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.