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Finding the Fourth Proportional to 570.25, 784.33 and 459.47

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Solution

The fourth proportional to 570.25, 784.33 and 459.47 is: 631.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.25 : 784.33 = 459.47 : x
  2. Step 2: Convert to fraction form
    570.25/784.33 = 459.47/x
  3. Step 3: Cross multiply
    570.25x = 784.33 × 459.47
  4. Step 4: Simplify right side
    570.25x = 360,376.11
  5. Step 5: Solve for x
    x = 360,376.11/570.25
  6. Step 6: Final answer
    x = 631.96

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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.