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Finding the Fourth Proportional to 671.10, 1,006.93 and 346.69

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Solution

The fourth proportional to 671.10, 1,006.93 and 346.69 is: 520.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.10 : 1,006.93 = 346.69 : x
  2. Step 2: Convert to fraction form
    671.10/1,006.93 = 346.69/x
  3. Step 3: Cross multiply
    671.10x = 1,006.93 × 346.69
  4. Step 4: Simplify right side
    671.10x = 349,094.25
  5. Step 5: Solve for x
    x = 349,094.25/671.10
  6. Step 6: Final answer
    x = 520.19

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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.