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Finding the Fourth Proportional to 598.32, 898.56 and 572.40

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Solution

The fourth proportional to 598.32, 898.56 and 572.40 is: 859.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.32 : 898.56 = 572.40 : x
  2. Step 2: Convert to fraction form
    598.32/898.56 = 572.40/x
  3. Step 3: Cross multiply
    598.32x = 898.56 × 572.40
  4. Step 4: Simplify right side
    598.32x = 514,335.74
  5. Step 5: Solve for x
    x = 514,335.74/598.32
  6. Step 6: Final answer
    x = 859.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.