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Finding the Fourth Proportional to 663.30, 915.36 and 364.53

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Solution

The fourth proportional to 663.30, 915.36 and 364.53 is: 503.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.30 : 915.36 = 364.53 : x
  2. Step 2: Convert to fraction form
    663.30/915.36 = 364.53/x
  3. Step 3: Cross multiply
    663.30x = 915.36 × 364.53
  4. Step 4: Simplify right side
    663.30x = 333,676.18
  5. Step 5: Solve for x
    x = 333,676.18/663.30
  6. Step 6: Final answer
    x = 503.05

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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.