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Finding the Fourth Proportional to 602.18, 830.04 and 491.46

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Solution

The fourth proportional to 602.18, 830.04 and 491.46 is: 677.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.18 : 830.04 = 491.46 : x
  2. Step 2: Convert to fraction form
    602.18/830.04 = 491.46/x
  3. Step 3: Cross multiply
    602.18x = 830.04 × 491.46
  4. Step 4: Simplify right side
    602.18x = 407,931.46
  5. Step 5: Solve for x
    x = 407,931.46/602.18
  6. Step 6: Final answer
    x = 677.43

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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.