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Finding the Fourth Proportional to 476.88, 659.32 and 366.72

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Solution

The fourth proportional to 476.88, 659.32 and 366.72 is: 507.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.88 : 659.32 = 366.72 : x
  2. Step 2: Convert to fraction form
    476.88/659.32 = 366.72/x
  3. Step 3: Cross multiply
    476.88x = 659.32 × 366.72
  4. Step 4: Simplify right side
    476.88x = 241,785.83
  5. Step 5: Solve for x
    x = 241,785.83/476.88
  6. Step 6: Final answer
    x = 507.02

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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.