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Finding the Fourth Proportional to 569.60, 785.70 and 348.36

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Solution

The fourth proportional to 569.60, 785.70 and 348.36 is: 480.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.60 : 785.70 = 348.36 : x
  2. Step 2: Convert to fraction form
    569.60/785.70 = 348.36/x
  3. Step 3: Cross multiply
    569.60x = 785.70 × 348.36
  4. Step 4: Simplify right side
    569.60x = 273,706.45
  5. Step 5: Solve for x
    x = 273,706.45/569.60
  6. Step 6: Final answer
    x = 480.52

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