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Finding the Fourth Proportional to 526.72, 725.28 and 415.84

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Solution

The fourth proportional to 526.72, 725.28 and 415.84 is: 572.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.72 : 725.28 = 415.84 : x
  2. Step 2: Convert to fraction form
    526.72/725.28 = 415.84/x
  3. Step 3: Cross multiply
    526.72x = 725.28 × 415.84
  4. Step 4: Simplify right side
    526.72x = 301,600.44
  5. Step 5: Solve for x
    x = 301,600.44/526.72
  6. Step 6: Final answer
    x = 572.60

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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.