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Finding the Fourth Proportional to 570.12, 786.82 and 337.32

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Solution

The fourth proportional to 570.12, 786.82 and 337.32 is: 465.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.12 : 786.82 = 337.32 : x
  2. Step 2: Convert to fraction form
    570.12/786.82 = 337.32/x
  3. Step 3: Cross multiply
    570.12x = 786.82 × 337.32
  4. Step 4: Simplify right side
    570.12x = 265,410.12
  5. Step 5: Solve for x
    x = 265,410.12/570.12
  6. Step 6: Final answer
    x = 465.53

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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.