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Finding the Fourth Proportional to 700.50, 966.77 and 424.50

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Solution

The fourth proportional to 700.50, 966.77 and 424.50 is: 585.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.50 : 966.77 = 424.50 : x
  2. Step 2: Convert to fraction form
    700.50/966.77 = 424.50/x
  3. Step 3: Cross multiply
    700.50x = 966.77 × 424.50
  4. Step 4: Simplify right side
    700.50x = 410,393.87
  5. Step 5: Solve for x
    x = 410,393.87/700.50
  6. Step 6: Final answer
    x = 585.86

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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.