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Finding the Fourth Proportional to 432.63, 647.40 and 346.52

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Solution

The fourth proportional to 432.63, 647.40 and 346.52 is: 518.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.63 : 647.40 = 346.52 : x
  2. Step 2: Convert to fraction form
    432.63/647.40 = 346.52/x
  3. Step 3: Cross multiply
    432.63x = 647.40 × 346.52
  4. Step 4: Simplify right side
    432.63x = 224,333.81
  5. Step 5: Solve for x
    x = 224,333.81/432.63
  6. Step 6: Final answer
    x = 518.54

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Why These Related Problems?

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