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Finding the Fourth Proportional to 476.79, 657.98 and 264.11

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Solution

The fourth proportional to 476.79, 657.98 and 264.11 is: 364.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.79 : 657.98 = 264.11 : x
  2. Step 2: Convert to fraction form
    476.79/657.98 = 264.11/x
  3. Step 3: Cross multiply
    476.79x = 657.98 × 264.11
  4. Step 4: Simplify right side
    476.79x = 173,779.10
  5. Step 5: Solve for x
    x = 173,779.10/476.79
  6. Step 6: Final answer
    x = 364.48

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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.