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Finding the Fourth Proportional to 570.12, 856.40 and 417.03

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Solution

The fourth proportional to 570.12, 856.40 and 417.03 is: 626.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.12 : 856.40 = 417.03 : x
  2. Step 2: Convert to fraction form
    570.12/856.40 = 417.03/x
  3. Step 3: Cross multiply
    570.12x = 856.40 × 417.03
  4. Step 4: Simplify right side
    570.12x = 357,142.41
  5. Step 5: Solve for x
    x = 357,142.41/570.12
  6. Step 6: Final answer
    x = 626.43

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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.