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Finding the Fourth Proportional to 476.16, 657.60 and 366.08

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Solution

The fourth proportional to 476.16, 657.60 and 366.08 is: 505.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.16 : 657.60 = 366.08 : x
  2. Step 2: Convert to fraction form
    476.16/657.60 = 366.08/x
  3. Step 3: Cross multiply
    476.16x = 657.60 × 366.08
  4. Step 4: Simplify right side
    476.16x = 240,734.21
  5. Step 5: Solve for x
    x = 240,734.21/476.16
  6. Step 6: Final answer
    x = 505.57

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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.