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Finding the Fourth Proportional to 526.56, 721.83 and 517.26

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Solution

The fourth proportional to 526.56, 721.83 and 517.26 is: 709.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.56 : 721.83 = 517.26 : x
  2. Step 2: Convert to fraction form
    526.56/721.83 = 517.26/x
  3. Step 3: Cross multiply
    526.56x = 721.83 × 517.26
  4. Step 4: Simplify right side
    526.56x = 373,373.79
  5. Step 5: Solve for x
    x = 373,373.79/526.56
  6. Step 6: Final answer
    x = 709.08

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.