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Finding the Fourth Proportional to 570.06, 786.78 and 337.23

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Solution

The fourth proportional to 570.06, 786.78 and 337.23 is: 465.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.06 : 786.78 = 337.23 : x
  2. Step 2: Convert to fraction form
    570.06/786.78 = 337.23/x
  3. Step 3: Cross multiply
    570.06x = 786.78 × 337.23
  4. Step 4: Simplify right side
    570.06x = 265,325.82
  5. Step 5: Solve for x
    x = 265,325.82/570.06
  6. Step 6: Final answer
    x = 465.43

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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.