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Finding the Fourth Proportional to 570.07, 786.77 and 423.12

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Solution

The fourth proportional to 570.07, 786.77 and 423.12 is: 583.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.07 : 786.77 = 423.12 : x
  2. Step 2: Convert to fraction form
    570.07/786.77 = 423.12/x
  3. Step 3: Cross multiply
    570.07x = 786.77 × 423.12
  4. Step 4: Simplify right side
    570.07x = 332,899.18
  5. Step 5: Solve for x
    x = 332,899.18/570.07
  6. Step 6: Final answer
    x = 583.96

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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.