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Finding the Fourth Proportional to 611.47, 915.65 and 465.33

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Solution

The fourth proportional to 611.47, 915.65 and 465.33 is: 696.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.47 : 915.65 = 465.33 : x
  2. Step 2: Convert to fraction form
    611.47/915.65 = 465.33/x
  3. Step 3: Cross multiply
    611.47x = 915.65 × 465.33
  4. Step 4: Simplify right side
    611.47x = 426,079.41
  5. Step 5: Solve for x
    x = 426,079.41/611.47
  6. Step 6: Final answer
    x = 696.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.