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Finding the Fourth Proportional to 532.19, 794.70 and 434.88

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Solution

The fourth proportional to 532.19, 794.70 and 434.88 is: 649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.19 : 794.70 = 434.88 : x
  2. Step 2: Convert to fraction form
    532.19/794.70 = 434.88/x
  3. Step 3: Cross multiply
    532.19x = 794.70 × 434.88
  4. Step 4: Simplify right side
    532.19x = 345,599.14
  5. Step 5: Solve for x
    x = 345,599.14/532.19
  6. Step 6: Final answer
    x = 649.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.