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Finding the Fourth Proportional to 375.21, 560.34 and 313.88

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Solution

The fourth proportional to 375.21, 560.34 and 313.88 is: 468.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.21 : 560.34 = 313.88 : x
  2. Step 2: Convert to fraction form
    375.21/560.34 = 313.88/x
  3. Step 3: Cross multiply
    375.21x = 560.34 × 313.88
  4. Step 4: Simplify right side
    375.21x = 175,876.72
  5. Step 5: Solve for x
    x = 175,876.72/375.21
  6. Step 6: Final answer
    x = 468.74

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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.