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Finding the Fourth Proportional to 924.40, 1,385.49 and 437.19

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Solution

The fourth proportional to 924.40, 1,385.49 and 437.19 is: 655.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.40 : 1,385.49 = 437.19 : x
  2. Step 2: Convert to fraction form
    924.40/1,385.49 = 437.19/x
  3. Step 3: Cross multiply
    924.40x = 1,385.49 × 437.19
  4. Step 4: Simplify right side
    924.40x = 605,722.37
  5. Step 5: Solve for x
    x = 605,722.37/924.40
  6. Step 6: Final answer
    x = 655.26

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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.