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Finding the Fourth Proportional to 432.76, 597.45 and 301.54

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Solution

The fourth proportional to 432.76, 597.45 and 301.54 is: 416.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.76 : 597.45 = 301.54 : x
  2. Step 2: Convert to fraction form
    432.76/597.45 = 301.54/x
  3. Step 3: Cross multiply
    432.76x = 597.45 × 301.54
  4. Step 4: Simplify right side
    432.76x = 180,155.07
  5. Step 5: Solve for x
    x = 180,155.07/432.76
  6. Step 6: Final answer
    x = 416.29

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Why These Related Problems?

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