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Finding the Fourth Proportional to 437.32, 602.84 and 289.70

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Solution

The fourth proportional to 437.32, 602.84 and 289.70 is: 399.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.32 : 602.84 = 289.70 : x
  2. Step 2: Convert to fraction form
    437.32/602.84 = 289.70/x
  3. Step 3: Cross multiply
    437.32x = 602.84 × 289.70
  4. Step 4: Simplify right side
    437.32x = 174,639.73
  5. Step 5: Solve for x
    x = 174,639.73/437.32
  6. Step 6: Final answer
    x = 399.35

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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.