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Finding the Fourth Proportional to 570.11, 784.17 and 459.35

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Solution

The fourth proportional to 570.11, 784.17 and 459.35 is: 631.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.11 : 784.17 = 459.35 : x
  2. Step 2: Convert to fraction form
    570.11/784.17 = 459.35/x
  3. Step 3: Cross multiply
    570.11x = 784.17 × 459.35
  4. Step 4: Simplify right side
    570.11x = 360,204.57
  5. Step 5: Solve for x
    x = 360,204.57/570.11
  6. Step 6: Final answer
    x = 631.81

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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.