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Finding the Fourth Proportional to 570.10, 786.10 and 370.66

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Solution

The fourth proportional to 570.10, 786.10 and 370.66 is: 511.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.10 : 786.10 = 370.66 : x
  2. Step 2: Convert to fraction form
    570.10/786.10 = 370.66/x
  3. Step 3: Cross multiply
    570.10x = 786.10 × 370.66
  4. Step 4: Simplify right side
    570.10x = 291,375.83
  5. Step 5: Solve for x
    x = 291,375.83/570.10
  6. Step 6: Final answer
    x = 511.10

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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.