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Finding the Fourth Proportional to 569.78, 855.95 and 313.14

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Solution

The fourth proportional to 569.78, 855.95 and 313.14 is: 470.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.78 : 855.95 = 313.14 : x
  2. Step 2: Convert to fraction form
    569.78/855.95 = 313.14/x
  3. Step 3: Cross multiply
    569.78x = 855.95 × 313.14
  4. Step 4: Simplify right side
    569.78x = 268,032.18
  5. Step 5: Solve for x
    x = 268,032.18/569.78
  6. Step 6: Final answer
    x = 470.41

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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.