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Finding the Fourth Proportional to 570.40, 786.72 and 430.56

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Solution

The fourth proportional to 570.40, 786.72 and 430.56 is: 593.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.40 : 786.72 = 430.56 : x
  2. Step 2: Convert to fraction form
    570.40/786.72 = 430.56/x
  3. Step 3: Cross multiply
    570.40x = 786.72 × 430.56
  4. Step 4: Simplify right side
    570.40x = 338,730.16
  5. Step 5: Solve for x
    x = 338,730.16/570.40
  6. Step 6: Final answer
    x = 593.85

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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.