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Finding the Fourth Proportional to 700.83, 967.23 and 421.21

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Solution

The fourth proportional to 700.83, 967.23 and 421.21 is: 581.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.83 : 967.23 = 421.21 : x
  2. Step 2: Convert to fraction form
    700.83/967.23 = 421.21/x
  3. Step 3: Cross multiply
    700.83x = 967.23 × 421.21
  4. Step 4: Simplify right side
    700.83x = 407,411.59
  5. Step 5: Solve for x
    x = 407,411.59/700.83
  6. Step 6: Final answer
    x = 581.32

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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.