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Finding the Fourth Proportional to 317.68, 436.04 and 304.32

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Solution

The fourth proportional to 317.68, 436.04 and 304.32 is: 417.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.68 : 436.04 = 304.32 : x
  2. Step 2: Convert to fraction form
    317.68/436.04 = 304.32/x
  3. Step 3: Cross multiply
    317.68x = 436.04 × 304.32
  4. Step 4: Simplify right side
    317.68x = 132,695.69
  5. Step 5: Solve for x
    x = 132,695.69/317.68
  6. Step 6: Final answer
    x = 417.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.