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Finding the Fourth Proportional to 482.10, 663.89 and 471.36

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Solution

The fourth proportional to 482.10, 663.89 and 471.36 is: 649.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.10 : 663.89 = 471.36 : x
  2. Step 2: Convert to fraction form
    482.10/663.89 = 471.36/x
  3. Step 3: Cross multiply
    482.10x = 663.89 × 471.36
  4. Step 4: Simplify right side
    482.10x = 312,931.19
  5. Step 5: Solve for x
    x = 312,931.19/482.10
  6. Step 6: Final answer
    x = 649.10

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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.