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Finding the Fourth Proportional to 469.02, 647.12 and 313.76

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Solution

The fourth proportional to 469.02, 647.12 and 313.76 is: 432.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.02 : 647.12 = 313.76 : x
  2. Step 2: Convert to fraction form
    469.02/647.12 = 313.76/x
  3. Step 3: Cross multiply
    469.02x = 647.12 × 313.76
  4. Step 4: Simplify right side
    469.02x = 203,040.37
  5. Step 5: Solve for x
    x = 203,040.37/469.02
  6. Step 6: Final answer
    x = 432.90

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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.