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Finding the Fourth Proportional to 317.17, 474.49 and 265.51

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Solution

The fourth proportional to 317.17, 474.49 and 265.51 is: 397.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.17 : 474.49 = 265.51 : x
  2. Step 2: Convert to fraction form
    317.17/474.49 = 265.51/x
  3. Step 3: Cross multiply
    317.17x = 474.49 × 265.51
  4. Step 4: Simplify right side
    317.17x = 125,981.84
  5. Step 5: Solve for x
    x = 125,981.84/317.17
  6. Step 6: Final answer
    x = 397.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.