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Finding the Fourth Proportional to 571.32, 787.84 and 488.70

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Solution

The fourth proportional to 571.32, 787.84 and 488.70 is: 673.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.32 : 787.84 = 488.70 : x
  2. Step 2: Convert to fraction form
    571.32/787.84 = 488.70/x
  3. Step 3: Cross multiply
    571.32x = 787.84 × 488.70
  4. Step 4: Simplify right side
    571.32x = 385,019.14
  5. Step 5: Solve for x
    x = 385,019.14/571.32
  6. Step 6: Final answer
    x = 673.91

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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.