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Finding the Fourth Proportional to 916.24, 1,374.59 and 266.98

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Solution

The fourth proportional to 916.24, 1,374.59 and 266.98 is: 400.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.24 : 1,374.59 = 266.98 : x
  2. Step 2: Convert to fraction form
    916.24/1,374.59 = 266.98/x
  3. Step 3: Cross multiply
    916.24x = 1,374.59 × 266.98
  4. Step 4: Simplify right side
    916.24x = 366,986.70
  5. Step 5: Solve for x
    x = 366,986.70/916.24
  6. Step 6: Final answer
    x = 400.54

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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.