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Finding the Fourth Proportional to 925.04, 1,387.62 and 340.20

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Solution

The fourth proportional to 925.04, 1,387.62 and 340.20 is: 510.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.04 : 1,387.62 = 340.20 : x
  2. Step 2: Convert to fraction form
    925.04/1,387.62 = 340.20/x
  3. Step 3: Cross multiply
    925.04x = 1,387.62 × 340.20
  4. Step 4: Simplify right side
    925.04x = 472,068.32
  5. Step 5: Solve for x
    x = 472,068.32/925.04
  6. Step 6: Final answer
    x = 510.32

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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.