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Finding the Fourth Proportional to 430.24, 644.76 and 314

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Solution

The fourth proportional to 430.24, 644.76 and 314 is: 470.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.24 : 644.76 = 314 : x
  2. Step 2: Convert to fraction form
    430.24/644.76 = 314/x
  3. Step 3: Cross multiply
    430.24x = 644.76 × 314
  4. Step 4: Simplify right side
    430.24x = 202,454.64
  5. Step 5: Solve for x
    x = 202,454.64/430.24
  6. Step 6: Final answer
    x = 470.56

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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.