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Finding the Fourth Proportional to 469.34, 647.80 and 314

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Solution

The fourth proportional to 469.34, 647.80 and 314 is: 433.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.34 : 647.80 = 314 : x
  2. Step 2: Convert to fraction form
    469.34/647.80 = 314/x
  3. Step 3: Cross multiply
    469.34x = 647.80 × 314
  4. Step 4: Simplify right side
    469.34x = 203,409.20
  5. Step 5: Solve for x
    x = 203,409.20/469.34
  6. Step 6: Final answer
    x = 433.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.