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Finding the Fourth Proportional to 570.69, 788.27 and 471.47

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Solution

The fourth proportional to 570.69, 788.27 and 471.47 is: 651.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.69 : 788.27 = 471.47 : x
  2. Step 2: Convert to fraction form
    570.69/788.27 = 471.47/x
  3. Step 3: Cross multiply
    570.69x = 788.27 × 471.47
  4. Step 4: Simplify right side
    570.69x = 371,639.36
  5. Step 5: Solve for x
    x = 371,639.36/570.69
  6. Step 6: Final answer
    x = 651.21

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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.