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Finding the Fourth Proportional to 569.72, 786.01 and 451.71

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Solution

The fourth proportional to 569.72, 786.01 and 451.71 is: 623.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.72 : 786.01 = 451.71 : x
  2. Step 2: Convert to fraction form
    569.72/786.01 = 451.71/x
  3. Step 3: Cross multiply
    569.72x = 786.01 × 451.71
  4. Step 4: Simplify right side
    569.72x = 355,048.58
  5. Step 5: Solve for x
    x = 355,048.58/569.72
  6. Step 6: Final answer
    x = 623.20

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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.