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Finding the Fourth Proportional to 575.68, 863.04 and 414.40

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Solution

The fourth proportional to 575.68, 863.04 and 414.40 is: 621.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.68 : 863.04 = 414.40 : x
  2. Step 2: Convert to fraction form
    575.68/863.04 = 414.40/x
  3. Step 3: Cross multiply
    575.68x = 863.04 × 414.40
  4. Step 4: Simplify right side
    575.68x = 357,643.78
  5. Step 5: Solve for x
    x = 357,643.78/575.68
  6. Step 6: Final answer
    x = 621.25

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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.