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Finding the Fourth Proportional to 663.55, 916.12 and 454.07

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Solution

The fourth proportional to 663.55, 916.12 and 454.07 is: 626.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.55 : 916.12 = 454.07 : x
  2. Step 2: Convert to fraction form
    663.55/916.12 = 454.07/x
  3. Step 3: Cross multiply
    663.55x = 916.12 × 454.07
  4. Step 4: Simplify right side
    663.55x = 415,980.34
  5. Step 5: Solve for x
    x = 415,980.34/663.55
  6. Step 6: Final answer
    x = 626.91

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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.