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Finding the Fourth Proportional to 570.47, 786.32 and 445.91

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Solution

The fourth proportional to 570.47, 786.32 and 445.91 is: 614.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.47 : 786.32 = 445.91 : x
  2. Step 2: Convert to fraction form
    570.47/786.32 = 445.91/x
  3. Step 3: Cross multiply
    570.47x = 786.32 × 445.91
  4. Step 4: Simplify right side
    570.47x = 350,621.79
  5. Step 5: Solve for x
    x = 350,621.79/570.47
  6. Step 6: Final answer
    x = 614.62

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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.