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Finding the Fourth Proportional to 432.46, 597.49 and 302.05

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Solution

The fourth proportional to 432.46, 597.49 and 302.05 is: 417.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.46 : 597.49 = 302.05 : x
  2. Step 2: Convert to fraction form
    432.46/597.49 = 302.05/x
  3. Step 3: Cross multiply
    432.46x = 597.49 × 302.05
  4. Step 4: Simplify right side
    432.46x = 180,473.55
  5. Step 5: Solve for x
    x = 180,473.55/432.46
  6. Step 6: Final answer
    x = 417.32

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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.