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Finding the Fourth Proportional to 924.03, 1,386.32 and 274.77

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Solution

The fourth proportional to 924.03, 1,386.32 and 274.77 is: 412.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.03 : 1,386.32 = 274.77 : x
  2. Step 2: Convert to fraction form
    924.03/1,386.32 = 274.77/x
  3. Step 3: Cross multiply
    924.03x = 1,386.32 × 274.77
  4. Step 4: Simplify right side
    924.03x = 380,917.77
  5. Step 5: Solve for x
    x = 380,917.77/924.03
  6. Step 6: Final answer
    x = 412.24

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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.