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Finding the Fourth Proportional to 375.05, 560.12 and 314.23

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Solution

The fourth proportional to 375.05, 560.12 and 314.23 is: 469.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.05 : 560.12 = 314.23 : x
  2. Step 2: Convert to fraction form
    375.05/560.12 = 314.23/x
  3. Step 3: Cross multiply
    375.05x = 560.12 × 314.23
  4. Step 4: Simplify right side
    375.05x = 176,006.51
  5. Step 5: Solve for x
    x = 176,006.51/375.05
  6. Step 6: Final answer
    x = 469.29

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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.