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Finding the Fourth Proportional to 924.01, 1,386.05 and 274.79

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Solution

The fourth proportional to 924.01, 1,386.05 and 274.79 is: 412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.01 : 1,386.05 = 274.79 : x
  2. Step 2: Convert to fraction form
    924.01/1,386.05 = 274.79/x
  3. Step 3: Cross multiply
    924.01x = 1,386.05 × 274.79
  4. Step 4: Simplify right side
    924.01x = 380,874.77
  5. Step 5: Solve for x
    x = 380,874.77/924.01
  6. Step 6: Final answer
    x = 412.20

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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.