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Finding the Fourth Proportional to 476.47, 657.49 and 279.95

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Solution

The fourth proportional to 476.47, 657.49 and 279.95 is: 386.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.47 : 657.49 = 279.95 : x
  2. Step 2: Convert to fraction form
    476.47/657.49 = 279.95/x
  3. Step 3: Cross multiply
    476.47x = 657.49 × 279.95
  4. Step 4: Simplify right side
    476.47x = 184,062.93
  5. Step 5: Solve for x
    x = 184,062.93/476.47
  6. Step 6: Final answer
    x = 386.31

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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.