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Finding the Fourth Proportional to 526.06, 724.35 and 432.46

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Solution

The fourth proportional to 526.06, 724.35 and 432.46 is: 595.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.06 : 724.35 = 432.46 : x
  2. Step 2: Convert to fraction form
    526.06/724.35 = 432.46/x
  3. Step 3: Cross multiply
    526.06x = 724.35 × 432.46
  4. Step 4: Simplify right side
    526.06x = 313,252.40
  5. Step 5: Solve for x
    x = 313,252.40/526.06
  6. Step 6: Final answer
    x = 595.47

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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.