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Finding the Fourth Proportional to 415.47, 573.01 and 266.02

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Solution

The fourth proportional to 415.47, 573.01 and 266.02 is: 366.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.47 : 573.01 = 266.02 : x
  2. Step 2: Convert to fraction form
    415.47/573.01 = 266.02/x
  3. Step 3: Cross multiply
    415.47x = 573.01 × 266.02
  4. Step 4: Simplify right side
    415.47x = 152,432.12
  5. Step 5: Solve for x
    x = 152,432.12/415.47
  6. Step 6: Final answer
    x = 366.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.