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Finding the Fourth Proportional to 478.08, 659.52 and 312.23

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Solution

The fourth proportional to 478.08, 659.52 and 312.23 is: 430.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.08 : 659.52 = 312.23 : x
  2. Step 2: Convert to fraction form
    478.08/659.52 = 312.23/x
  3. Step 3: Cross multiply
    478.08x = 659.52 × 312.23
  4. Step 4: Simplify right side
    478.08x = 205,918.63
  5. Step 5: Solve for x
    x = 205,918.63/478.08
  6. Step 6: Final answer
    x = 430.72

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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.