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Finding the Fourth Proportional to 741.10, 1,110.64 and 278.41

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Solution

The fourth proportional to 741.10, 1,110.64 and 278.41 is: 417.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.10 : 1,110.64 = 278.41 : x
  2. Step 2: Convert to fraction form
    741.10/1,110.64 = 278.41/x
  3. Step 3: Cross multiply
    741.10x = 1,110.64 × 278.41
  4. Step 4: Simplify right side
    741.10x = 309,214.75
  5. Step 5: Solve for x
    x = 309,214.75/741.10
  6. Step 6: Final answer
    x = 417.24

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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.