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Finding the Fourth Proportional to 916.04, 1,374.08 and 395.64

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Solution

The fourth proportional to 916.04, 1,374.08 and 395.64 is: 593.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.04 : 1,374.08 = 395.64 : x
  2. Step 2: Convert to fraction form
    916.04/1,374.08 = 395.64/x
  3. Step 3: Cross multiply
    916.04x = 1,374.08 × 395.64
  4. Step 4: Simplify right side
    916.04x = 543,641.01
  5. Step 5: Solve for x
    x = 543,641.01/916.04
  6. Step 6: Final answer
    x = 593.47

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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.