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Finding the Fourth Proportional to 476.10, 657.65 and 383.19

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Solution

The fourth proportional to 476.10, 657.65 and 383.19 is: 529.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.10 : 657.65 = 383.19 : x
  2. Step 2: Convert to fraction form
    476.10/657.65 = 383.19/x
  3. Step 3: Cross multiply
    476.10x = 657.65 × 383.19
  4. Step 4: Simplify right side
    476.10x = 252,005.59
  5. Step 5: Solve for x
    x = 252,005.59/476.10
  6. Step 6: Final answer
    x = 529.31

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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.