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Finding the Fourth Proportional to 317.57, 473.70 and 265.63

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Solution

The fourth proportional to 317.57, 473.70 and 265.63 is: 396.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.57 : 473.70 = 265.63 : x
  2. Step 2: Convert to fraction form
    317.57/473.70 = 265.63/x
  3. Step 3: Cross multiply
    317.57x = 473.70 × 265.63
  4. Step 4: Simplify right side
    317.57x = 125,828.14
  5. Step 5: Solve for x
    x = 125,828.14/317.57
  6. Step 6: Final answer
    x = 396.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.