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Finding the Fourth Proportional to 611.21, 915.06 and 465.53

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Solution

The fourth proportional to 611.21, 915.06 and 465.53 is: 696.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.21 : 915.06 = 465.53 : x
  2. Step 2: Convert to fraction form
    611.21/915.06 = 465.53/x
  3. Step 3: Cross multiply
    611.21x = 915.06 × 465.53
  4. Step 4: Simplify right side
    611.21x = 425,985.05
  5. Step 5: Solve for x
    x = 425,985.05/611.21
  6. Step 6: Final answer
    x = 696.95

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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.