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Finding the Fourth Proportional to 572.63, 788.67 and 566.70

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Solution

The fourth proportional to 572.63, 788.67 and 566.70 is: 780.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.63 : 788.67 = 566.70 : x
  2. Step 2: Convert to fraction form
    572.63/788.67 = 566.70/x
  3. Step 3: Cross multiply
    572.63x = 788.67 × 566.70
  4. Step 4: Simplify right side
    572.63x = 446,939.29
  5. Step 5: Solve for x
    x = 446,939.29/572.63
  6. Step 6: Final answer
    x = 780.51

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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.