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Finding the Fourth Proportional to 566.40, 782.39 and 456.30

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Solution

The fourth proportional to 566.40, 782.39 and 456.30 is: 630.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.40 : 782.39 = 456.30 : x
  2. Step 2: Convert to fraction form
    566.40/782.39 = 456.30/x
  3. Step 3: Cross multiply
    566.40x = 782.39 × 456.30
  4. Step 4: Simplify right side
    566.40x = 357,004.56
  5. Step 5: Solve for x
    x = 357,004.56/566.40
  6. Step 6: Final answer
    x = 630.30

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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.