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Finding the Fourth Proportional to 500.48, 689.06 and 388.16

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Solution

The fourth proportional to 500.48, 689.06 and 388.16 is: 534.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.48 : 689.06 = 388.16 : x
  2. Step 2: Convert to fraction form
    500.48/689.06 = 388.16/x
  3. Step 3: Cross multiply
    500.48x = 689.06 × 388.16
  4. Step 4: Simplify right side
    500.48x = 267,460.14
  5. Step 5: Solve for x
    x = 267,460.14/500.48
  6. Step 6: Final answer
    x = 534.41

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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.