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Finding the Fourth Proportional to 743.08, 1,114.08 and 310

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Solution

The fourth proportional to 743.08, 1,114.08 and 310 is: 464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.08 : 1,114.08 = 310 : x
  2. Step 2: Convert to fraction form
    743.08/1,114.08 = 310/x
  3. Step 3: Cross multiply
    743.08x = 1,114.08 × 310
  4. Step 4: Simplify right side
    743.08x = 345,364.80
  5. Step 5: Solve for x
    x = 345,364.80/743.08
  6. Step 6: Final answer
    x = 464.77

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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.