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Finding the Fourth Proportional to 476.66, 657.54 and 388.28

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Solution

The fourth proportional to 476.66, 657.54 and 388.28 is: 535.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.66 : 657.54 = 388.28 : x
  2. Step 2: Convert to fraction form
    476.66/657.54 = 388.28/x
  3. Step 3: Cross multiply
    476.66x = 657.54 × 388.28
  4. Step 4: Simplify right side
    476.66x = 255,309.63
  5. Step 5: Solve for x
    x = 255,309.63/476.66
  6. Step 6: Final answer
    x = 535.62

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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.