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Finding the Fourth Proportional to 532.79, 735.34 and 423.10

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Solution

The fourth proportional to 532.79, 735.34 and 423.10 is: 583.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.79 : 735.34 = 423.10 : x
  2. Step 2: Convert to fraction form
    532.79/735.34 = 423.10/x
  3. Step 3: Cross multiply
    532.79x = 735.34 × 423.10
  4. Step 4: Simplify right side
    532.79x = 311,119.46
  5. Step 5: Solve for x
    x = 311,119.46/532.79
  6. Step 6: Final answer
    x = 583.95

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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.