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Finding the Fourth Proportional to 476.64, 657.95 and 323.19

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Solution

The fourth proportional to 476.64, 657.95 and 323.19 is: 446.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.64 : 657.95 = 323.19 : x
  2. Step 2: Convert to fraction form
    476.64/657.95 = 323.19/x
  3. Step 3: Cross multiply
    476.64x = 657.95 × 323.19
  4. Step 4: Simplify right side
    476.64x = 212,641.24
  5. Step 5: Solve for x
    x = 212,641.24/476.64
  6. Step 6: Final answer
    x = 446.13

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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.