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Finding the Fourth Proportional to 700.34, 966.29 and 420.48

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Solution

The fourth proportional to 700.34, 966.29 and 420.48 is: 580.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.34 : 966.29 = 420.48 : x
  2. Step 2: Convert to fraction form
    700.34/966.29 = 420.48/x
  3. Step 3: Cross multiply
    700.34x = 966.29 × 420.48
  4. Step 4: Simplify right side
    700.34x = 406,303.52
  5. Step 5: Solve for x
    x = 406,303.52/700.34
  6. Step 6: Final answer
    x = 580.16

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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.