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Finding the Fourth Proportional to 610.58, 915.88 and 286.18

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Solution

The fourth proportional to 610.58, 915.88 and 286.18 is: 429.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.58 : 915.88 = 286.18 : x
  2. Step 2: Convert to fraction form
    610.58/915.88 = 286.18/x
  3. Step 3: Cross multiply
    610.58x = 915.88 × 286.18
  4. Step 4: Simplify right side
    610.58x = 262,106.54
  5. Step 5: Solve for x
    x = 262,106.54/610.58
  6. Step 6: Final answer
    x = 429.27

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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.