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Finding the Fourth Proportional to 469.74, 648.12 and 312.60

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Solution

The fourth proportional to 469.74, 648.12 and 312.60 is: 431.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.74 : 648.12 = 312.60 : x
  2. Step 2: Convert to fraction form
    469.74/648.12 = 312.60/x
  3. Step 3: Cross multiply
    469.74x = 648.12 × 312.60
  4. Step 4: Simplify right side
    469.74x = 202,602.31
  5. Step 5: Solve for x
    x = 202,602.31/469.74
  6. Step 6: Final answer
    x = 431.31

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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.