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Finding the Fourth Proportional to 526.40, 724.56 and 370.88

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Solution

The fourth proportional to 526.40, 724.56 and 370.88 is: 510.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.40 : 724.56 = 370.88 : x
  2. Step 2: Convert to fraction form
    526.40/724.56 = 370.88/x
  3. Step 3: Cross multiply
    526.40x = 724.56 × 370.88
  4. Step 4: Simplify right side
    526.40x = 268,724.81
  5. Step 5: Solve for x
    x = 268,724.81/526.40
  6. Step 6: Final answer
    x = 510.50

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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.