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Finding the Fourth Proportional to 570.72, 786.78 and 384.12

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Solution

The fourth proportional to 570.72, 786.78 and 384.12 is: 529.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.72 : 786.78 = 384.12 : x
  2. Step 2: Convert to fraction form
    570.72/786.78 = 384.12/x
  3. Step 3: Cross multiply
    570.72x = 786.78 × 384.12
  4. Step 4: Simplify right side
    570.72x = 302,217.93
  5. Step 5: Solve for x
    x = 302,217.93/570.72
  6. Step 6: Final answer
    x = 529.54

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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.