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Finding the Fourth Proportional to 410.97, 612.56 and 390.42

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Solution

The fourth proportional to 410.97, 612.56 and 390.42 is: 581.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.97 : 612.56 = 390.42 : x
  2. Step 2: Convert to fraction form
    410.97/612.56 = 390.42/x
  3. Step 3: Cross multiply
    410.97x = 612.56 × 390.42
  4. Step 4: Simplify right side
    410.97x = 239,156.65
  5. Step 5: Solve for x
    x = 239,156.65/410.97
  6. Step 6: Final answer
    x = 581.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.