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Finding the Fourth Proportional to 341.47, 509.72 and 316.09

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Solution

The fourth proportional to 341.47, 509.72 and 316.09 is: 471.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.47 : 509.72 = 316.09 : x
  2. Step 2: Convert to fraction form
    341.47/509.72 = 316.09/x
  3. Step 3: Cross multiply
    341.47x = 509.72 × 316.09
  4. Step 4: Simplify right side
    341.47x = 161,116.91
  5. Step 5: Solve for x
    x = 161,116.91/341.47
  6. Step 6: Final answer
    x = 471.84

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Why These Related Problems?

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