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Finding the Fourth Proportional to 700.29, 967.68 and 534.24

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Solution

The fourth proportional to 700.29, 967.68 and 534.24 is: 738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.29 : 967.68 = 534.24 : x
  2. Step 2: Convert to fraction form
    700.29/967.68 = 534.24/x
  3. Step 3: Cross multiply
    700.29x = 967.68 × 534.24
  4. Step 4: Simplify right side
    700.29x = 516,973.36
  5. Step 5: Solve for x
    x = 516,973.36/700.29
  6. Step 6: Final answer
    x = 738.23

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1.5x scale

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.