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Finding the Fourth Proportional to 470.01, 648.57 and 283.53

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Solution

The fourth proportional to 470.01, 648.57 and 283.53 is: 391.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.01 : 648.57 = 283.53 : x
  2. Step 2: Convert to fraction form
    470.01/648.57 = 283.53/x
  3. Step 3: Cross multiply
    470.01x = 648.57 × 283.53
  4. Step 4: Simplify right side
    470.01x = 183,889.05
  5. Step 5: Solve for x
    x = 183,889.05/470.01
  6. Step 6: Final answer
    x = 391.24

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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.