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Finding the Fourth Proportional to 575.06, 862.29 and 410.42

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Solution

The fourth proportional to 575.06, 862.29 and 410.42 is: 615.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.06 : 862.29 = 410.42 : x
  2. Step 2: Convert to fraction form
    575.06/862.29 = 410.42/x
  3. Step 3: Cross multiply
    575.06x = 862.29 × 410.42
  4. Step 4: Simplify right side
    575.06x = 353,903.22
  5. Step 5: Solve for x
    x = 353,903.22/575.06
  6. Step 6: Final answer
    x = 615.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.