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Finding the Fourth Proportional to 663.21, 915.35 and 414.45

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Solution

The fourth proportional to 663.21, 915.35 and 414.45 is: 572.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.21 : 915.35 = 414.45 : x
  2. Step 2: Convert to fraction form
    663.21/915.35 = 414.45/x
  3. Step 3: Cross multiply
    663.21x = 915.35 × 414.45
  4. Step 4: Simplify right side
    663.21x = 379,364.74
  5. Step 5: Solve for x
    x = 379,364.74/663.21
  6. Step 6: Final answer
    x = 572.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.