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Finding the Fourth Proportional to 476.24, 657.30 and 279.77

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Solution

The fourth proportional to 476.24, 657.30 and 279.77 is: 386.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.24 : 657.30 = 279.77 : x
  2. Step 2: Convert to fraction form
    476.24/657.30 = 279.77/x
  3. Step 3: Cross multiply
    476.24x = 657.30 × 279.77
  4. Step 4: Simplify right side
    476.24x = 183,892.82
  5. Step 5: Solve for x
    x = 183,892.82/476.24
  6. Step 6: Final answer
    x = 386.13

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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.