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Finding the Fourth Proportional to 570.62, 856.76 and 499.34

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Solution

The fourth proportional to 570.62, 856.76 and 499.34 is: 749.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.62 : 856.76 = 499.34 : x
  2. Step 2: Convert to fraction form
    570.62/856.76 = 499.34/x
  3. Step 3: Cross multiply
    570.62x = 856.76 × 499.34
  4. Step 4: Simplify right side
    570.62x = 427,814.54
  5. Step 5: Solve for x
    x = 427,814.54/570.62
  6. Step 6: Final answer
    x = 749.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.