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Finding the Fourth Proportional to 469.65, 703.10 and 371.46

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Solution

The fourth proportional to 469.65, 703.10 and 371.46 is: 556.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.65 : 703.10 = 371.46 : x
  2. Step 2: Convert to fraction form
    469.65/703.10 = 371.46/x
  3. Step 3: Cross multiply
    469.65x = 703.10 × 371.46
  4. Step 4: Simplify right side
    469.65x = 261,173.53
  5. Step 5: Solve for x
    x = 261,173.53/469.65
  6. Step 6: Final answer
    x = 556.10

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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.