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Finding the Fourth Proportional to 432.96, 597.24 and 293.06

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Solution

The fourth proportional to 432.96, 597.24 and 293.06 is: 404.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.96 : 597.24 = 293.06 : x
  2. Step 2: Convert to fraction form
    432.96/597.24 = 293.06/x
  3. Step 3: Cross multiply
    432.96x = 597.24 × 293.06
  4. Step 4: Simplify right side
    432.96x = 175,024.17
  5. Step 5: Solve for x
    x = 175,024.17/432.96
  6. Step 6: Final answer
    x = 404.25

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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.