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Finding the Fourth Proportional to 610.58, 915.92 and 302.25

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Solution

The fourth proportional to 610.58, 915.92 and 302.25 is: 453.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.58 : 915.92 = 302.25 : x
  2. Step 2: Convert to fraction form
    610.58/915.92 = 302.25/x
  3. Step 3: Cross multiply
    610.58x = 915.92 × 302.25
  4. Step 4: Simplify right side
    610.58x = 276,835.31
  5. Step 5: Solve for x
    x = 276,835.31/610.58
  6. Step 6: Final answer
    x = 453.40

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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.