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Finding the Fourth Proportional to 569.31, 785.70 and 348.40

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Solution

The fourth proportional to 569.31, 785.70 and 348.40 is: 480.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.31 : 785.70 = 348.40 : x
  2. Step 2: Convert to fraction form
    569.31/785.70 = 348.40/x
  3. Step 3: Cross multiply
    569.31x = 785.70 × 348.40
  4. Step 4: Simplify right side
    569.31x = 273,737.88
  5. Step 5: Solve for x
    x = 273,737.88/569.31
  6. Step 6: Final answer
    x = 480.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.