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Finding the Fourth Proportional to 569.63, 785.70 and 359.57

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Solution

The fourth proportional to 569.63, 785.70 and 359.57 is: 495.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.63 : 785.70 = 359.57 : x
  2. Step 2: Convert to fraction form
    569.63/785.70 = 359.57/x
  3. Step 3: Cross multiply
    569.63x = 785.70 × 359.57
  4. Step 4: Simplify right side
    569.63x = 282,516.11
  5. Step 5: Solve for x
    x = 282,516.11/569.63
  6. Step 6: Final answer
    x = 495.96

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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.