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Finding the Fourth Proportional to 526.18, 724.98 and 348.84

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Solution

The fourth proportional to 526.18, 724.98 and 348.84 is: 480.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.18 : 724.98 = 348.84 : x
  2. Step 2: Convert to fraction form
    526.18/724.98 = 348.84/x
  3. Step 3: Cross multiply
    526.18x = 724.98 × 348.84
  4. Step 4: Simplify right side
    526.18x = 252,902.02
  5. Step 5: Solve for x
    x = 252,902.02/526.18
  6. Step 6: Final answer
    x = 480.64

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