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Finding the Fourth Proportional to 569.16, 785.14 and 348.12

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Solution

The fourth proportional to 569.16, 785.14 and 348.12 is: 480.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.16 : 785.14 = 348.12 : x
  2. Step 2: Convert to fraction form
    569.16/785.14 = 348.12/x
  3. Step 3: Cross multiply
    569.16x = 785.14 × 348.12
  4. Step 4: Simplify right side
    569.16x = 273,322.94
  5. Step 5: Solve for x
    x = 273,322.94/569.16
  6. Step 6: Final answer
    x = 480.22

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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.