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Finding the Fourth Proportional to 410.13, 612.80 and 395.78

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Solution

The fourth proportional to 410.13, 612.80 and 395.78 is: 591.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.13 : 612.80 = 395.78 : x
  2. Step 2: Convert to fraction form
    410.13/612.80 = 395.78/x
  3. Step 3: Cross multiply
    410.13x = 612.80 × 395.78
  4. Step 4: Simplify right side
    410.13x = 242,532.01
  5. Step 5: Solve for x
    x = 242,532.01/410.13
  6. Step 6: Final answer
    x = 591.35

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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.