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Finding the Fourth Proportional to 700, 966.20 and 463.99

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Solution

The fourth proportional to 700, 966.20 and 463.99 is: 640.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    700 : 966.20 = 463.99 : x
  2. Step 2: Convert to fraction form
    700/966.20 = 463.99/x
  3. Step 3: Cross multiply
    700x = 966.20 × 463.99
  4. Step 4: Simplify right side
    700x = 448,307.14
  5. Step 5: Solve for x
    x = 448,307.14/700
  6. Step 6: Final answer
    x = 640.44

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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.