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Finding the Fourth Proportional to 743.10, 1,114.77 and 332.23

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Solution

The fourth proportional to 743.10, 1,114.77 and 332.23 is: 498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.10 : 1,114.77 = 332.23 : x
  2. Step 2: Convert to fraction form
    743.10/1,114.77 = 332.23/x
  3. Step 3: Cross multiply
    743.10x = 1,114.77 × 332.23
  4. Step 4: Simplify right side
    743.10x = 370,360.04
  5. Step 5: Solve for x
    x = 370,360.04/743.10
  6. Step 6: Final answer
    x = 498.40

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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.