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Finding the Fourth Proportional to 663.74, 915.99 and 369.01

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Solution

The fourth proportional to 663.74, 915.99 and 369.01 is: 509.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.74 : 915.99 = 369.01 : x
  2. Step 2: Convert to fraction form
    663.74/915.99 = 369.01/x
  3. Step 3: Cross multiply
    663.74x = 915.99 × 369.01
  4. Step 4: Simplify right side
    663.74x = 338,009.47
  5. Step 5: Solve for x
    x = 338,009.47/663.74
  6. Step 6: Final answer
    x = 509.25

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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.