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Finding the Fourth Proportional to 700.16, 966.02 and 420.30

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Solution

The fourth proportional to 700.16, 966.02 and 420.30 is: 579.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.16 : 966.02 = 420.30 : x
  2. Step 2: Convert to fraction form
    700.16/966.02 = 420.30/x
  3. Step 3: Cross multiply
    700.16x = 966.02 × 420.30
  4. Step 4: Simplify right side
    700.16x = 406,016.10
  5. Step 5: Solve for x
    x = 406,016.10/700.16
  6. Step 6: Final answer
    x = 579.89

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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.