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Finding the Fourth Proportional to 700.93, 967.33 and 421.16

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Solution

The fourth proportional to 700.93, 967.33 and 421.16 is: 581.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.93 : 967.33 = 421.16 : x
  2. Step 2: Convert to fraction form
    700.93/967.33 = 421.16/x
  3. Step 3: Cross multiply
    700.93x = 967.33 × 421.16
  4. Step 4: Simplify right side
    700.93x = 407,394.02
  5. Step 5: Solve for x
    x = 407,394.02/700.93
  6. Step 6: Final answer
    x = 581.22

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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.