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Finding the Fourth Proportional to 570.11, 785.77 and 470.83

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Solution

The fourth proportional to 570.11, 785.77 and 470.83 is: 648.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.11 : 785.77 = 470.83 : x
  2. Step 2: Convert to fraction form
    570.11/785.77 = 470.83/x
  3. Step 3: Cross multiply
    570.11x = 785.77 × 470.83
  4. Step 4: Simplify right side
    570.11x = 369,964.09
  5. Step 5: Solve for x
    x = 369,964.09/570.11
  6. Step 6: Final answer
    x = 648.93

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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.