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Finding the Fourth Proportional to 924.55, 1,386.42 and 275.16

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Solution

The fourth proportional to 924.55, 1,386.42 and 275.16 is: 412.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.55 : 1,386.42 = 275.16 : x
  2. Step 2: Convert to fraction form
    924.55/1,386.42 = 275.16/x
  3. Step 3: Cross multiply
    924.55x = 1,386.42 × 275.16
  4. Step 4: Simplify right side
    924.55x = 381,480.40
  5. Step 5: Solve for x
    x = 381,480.40/924.55
  6. Step 6: Final answer
    x = 412.61

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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.