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Finding the Fourth Proportional to 569.62, 785.71 and 373.14

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Solution

The fourth proportional to 569.62, 785.71 and 373.14 is: 514.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.62 : 785.71 = 373.14 : x
  2. Step 2: Convert to fraction form
    569.62/785.71 = 373.14/x
  3. Step 3: Cross multiply
    569.62x = 785.71 × 373.14
  4. Step 4: Simplify right side
    569.62x = 293,179.83
  5. Step 5: Solve for x
    x = 293,179.83/569.62
  6. Step 6: Final answer
    x = 514.69

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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.