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Finding the Fourth Proportional to 743.16, 1,114.64 and 310.32

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Solution

The fourth proportional to 743.16, 1,114.64 and 310.32 is: 465.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.16 : 1,114.64 = 310.32 : x
  2. Step 2: Convert to fraction form
    743.16/1,114.64 = 310.32/x
  3. Step 3: Cross multiply
    743.16x = 1,114.64 × 310.32
  4. Step 4: Simplify right side
    743.16x = 345,895.08
  5. Step 5: Solve for x
    x = 345,895.08/743.16
  6. Step 6: Final answer
    x = 465.44

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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.