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Finding the Fourth Proportional to 477.16, 659.04 and 378.74

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Solution

The fourth proportional to 477.16, 659.04 and 378.74 is: 523.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.16 : 659.04 = 378.74 : x
  2. Step 2: Convert to fraction form
    477.16/659.04 = 378.74/x
  3. Step 3: Cross multiply
    477.16x = 659.04 × 378.74
  4. Step 4: Simplify right side
    477.16x = 249,604.81
  5. Step 5: Solve for x
    x = 249,604.81/477.16
  6. Step 6: Final answer
    x = 523.11

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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.