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Finding the Fourth Proportional to 916.07, 1,373.80 and 299.63

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Solution

The fourth proportional to 916.07, 1,373.80 and 299.63 is: 449.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.07 : 1,373.80 = 299.63 : x
  2. Step 2: Convert to fraction form
    916.07/1,373.80 = 299.63/x
  3. Step 3: Cross multiply
    916.07x = 1,373.80 × 299.63
  4. Step 4: Simplify right side
    916.07x = 411,630.94
  5. Step 5: Solve for x
    x = 411,630.94/916.07
  6. Step 6: Final answer
    x = 449.34

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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.