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Finding the Fourth Proportional to 314.55, 470.85 and 283.56

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Solution

The fourth proportional to 314.55, 470.85 and 283.56 is: 424.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.55 : 470.85 = 283.56 : x
  2. Step 2: Convert to fraction form
    314.55/470.85 = 283.56/x
  3. Step 3: Cross multiply
    314.55x = 470.85 × 283.56
  4. Step 4: Simplify right side
    314.55x = 133,514.23
  5. Step 5: Solve for x
    x = 133,514.23/314.55
  6. Step 6: Final answer
    x = 424.47

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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.