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Finding the Fourth Proportional to 904.55, 1,356.89 and 442.71

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Solution

The fourth proportional to 904.55, 1,356.89 and 442.71 is: 664.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.55 : 1,356.89 = 442.71 : x
  2. Step 2: Convert to fraction form
    904.55/1,356.89 = 442.71/x
  3. Step 3: Cross multiply
    904.55x = 1,356.89 × 442.71
  4. Step 4: Simplify right side
    904.55x = 600,706.56
  5. Step 5: Solve for x
    x = 600,706.56/904.55
  6. Step 6: Final answer
    x = 664.10

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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.