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Finding the Fourth Proportional to 663.32, 915.36 and 401.60

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Solution

The fourth proportional to 663.32, 915.36 and 401.60 is: 554.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.32 : 915.36 = 401.60 : x
  2. Step 2: Convert to fraction form
    663.32/915.36 = 401.60/x
  3. Step 3: Cross multiply
    663.32x = 915.36 × 401.60
  4. Step 4: Simplify right side
    663.32x = 367,608.58
  5. Step 5: Solve for x
    x = 367,608.58/663.32
  6. Step 6: Final answer
    x = 554.19

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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.