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Finding the Fourth Proportional to 663.64, 916.02 and 430.78

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Solution

The fourth proportional to 663.64, 916.02 and 430.78 is: 594.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.64 : 916.02 = 430.78 : x
  2. Step 2: Convert to fraction form
    663.64/916.02 = 430.78/x
  3. Step 3: Cross multiply
    663.64x = 916.02 × 430.78
  4. Step 4: Simplify right side
    663.64x = 394,603.10
  5. Step 5: Solve for x
    x = 394,603.10/663.64
  6. Step 6: Final answer
    x = 594.60

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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.