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Finding the Fourth Proportional to 575.02, 862.05 and 266.47

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Solution

The fourth proportional to 575.02, 862.05 and 266.47 is: 399.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.02 : 862.05 = 266.47 : x
  2. Step 2: Convert to fraction form
    575.02/862.05 = 266.47/x
  3. Step 3: Cross multiply
    575.02x = 862.05 × 266.47
  4. Step 4: Simplify right side
    575.02x = 229,710.46
  5. Step 5: Solve for x
    x = 229,710.46/575.02
  6. Step 6: Final answer
    x = 399.48

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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.