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Finding the Fourth Proportional to 569.06, 852.78 and 260.14

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Solution

The fourth proportional to 569.06, 852.78 and 260.14 is: 389.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.06 : 852.78 = 260.14 : x
  2. Step 2: Convert to fraction form
    569.06/852.78 = 260.14/x
  3. Step 3: Cross multiply
    569.06x = 852.78 × 260.14
  4. Step 4: Simplify right side
    569.06x = 221,842.19
  5. Step 5: Solve for x
    x = 221,842.19/569.06
  6. Step 6: Final answer
    x = 389.84

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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.