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Finding the Fourth Proportional to 894.52, 1,341.68 and 278.16

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Solution

The fourth proportional to 894.52, 1,341.68 and 278.16 is: 417.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.52 : 1,341.68 = 278.16 : x
  2. Step 2: Convert to fraction form
    894.52/1,341.68 = 278.16/x
  3. Step 3: Cross multiply
    894.52x = 1,341.68 × 278.16
  4. Step 4: Simplify right side
    894.52x = 373,201.71
  5. Step 5: Solve for x
    x = 373,201.71/894.52
  6. Step 6: Final answer
    x = 417.21

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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.