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Finding the Fourth Proportional to 570.34, 856.05 and 414.28

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Solution

The fourth proportional to 570.34, 856.05 and 414.28 is: 621.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.34 : 856.05 = 414.28 : x
  2. Step 2: Convert to fraction form
    570.34/856.05 = 414.28/x
  3. Step 3: Cross multiply
    570.34x = 856.05 × 414.28
  4. Step 4: Simplify right side
    570.34x = 354,644.39
  5. Step 5: Solve for x
    x = 354,644.39/570.34
  6. Step 6: Final answer
    x = 621.81

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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.