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Finding the Fourth Proportional to 602.70, 830.91 and 478.77

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Solution

The fourth proportional to 602.70, 830.91 and 478.77 is: 660.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.70 : 830.91 = 478.77 : x
  2. Step 2: Convert to fraction form
    602.70/830.91 = 478.77/x
  3. Step 3: Cross multiply
    602.70x = 830.91 × 478.77
  4. Step 4: Simplify right side
    602.70x = 397,814.78
  5. Step 5: Solve for x
    x = 397,814.78/602.70
  6. Step 6: Final answer
    x = 660.05

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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.