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Finding the Fourth Proportional to 434.47, 599.84 and 387.76

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Solution

The fourth proportional to 434.47, 599.84 and 387.76 is: 535.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.47 : 599.84 = 387.76 : x
  2. Step 2: Convert to fraction form
    434.47/599.84 = 387.76/x
  3. Step 3: Cross multiply
    434.47x = 599.84 × 387.76
  4. Step 4: Simplify right side
    434.47x = 232,590.96
  5. Step 5: Solve for x
    x = 232,590.96/434.47
  6. Step 6: Final answer
    x = 535.35

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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.