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Finding the Fourth Proportional to 470, 648.64 and 295.46

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Solution

The fourth proportional to 470, 648.64 and 295.46 is: 407.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    470 : 648.64 = 295.46 : x
  2. Step 2: Convert to fraction form
    470/648.64 = 295.46/x
  3. Step 3: Cross multiply
    470x = 648.64 × 295.46
  4. Step 4: Simplify right side
    470x = 191,647.17
  5. Step 5: Solve for x
    x = 191,647.17/470
  6. Step 6: Final answer
    x = 407.76

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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.