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Finding the Fourth Proportional to 610.71, 916.35 and 302.19

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Solution

The fourth proportional to 610.71, 916.35 and 302.19 is: 453.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.71 : 916.35 = 302.19 : x
  2. Step 2: Convert to fraction form
    610.71/916.35 = 302.19/x
  3. Step 3: Cross multiply
    610.71x = 916.35 × 302.19
  4. Step 4: Simplify right side
    610.71x = 276,911.81
  5. Step 5: Solve for x
    x = 276,911.81/610.71
  6. Step 6: Final answer
    x = 453.43

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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.