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Finding the Fourth Proportional to 477.58, 659.69 and 399.17

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Solution

The fourth proportional to 477.58, 659.69 and 399.17 is: 551.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.58 : 659.69 = 399.17 : x
  2. Step 2: Convert to fraction form
    477.58/659.69 = 399.17/x
  3. Step 3: Cross multiply
    477.58x = 659.69 × 399.17
  4. Step 4: Simplify right side
    477.58x = 263,328.46
  5. Step 5: Solve for x
    x = 263,328.46/477.58
  6. Step 6: Final answer
    x = 551.38

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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.