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Finding the Fourth Proportional to 916.68, 1,374.96 and 339.50

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Solution

The fourth proportional to 916.68, 1,374.96 and 339.50 is: 509.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.68 : 1,374.96 = 339.50 : x
  2. Step 2: Convert to fraction form
    916.68/1,374.96 = 339.50/x
  3. Step 3: Cross multiply
    916.68x = 1,374.96 × 339.50
  4. Step 4: Simplify right side
    916.68x = 466,798.92
  5. Step 5: Solve for x
    x = 466,798.92/916.68
  6. Step 6: Final answer
    x = 509.23

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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.