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Finding the Fourth Proportional to 466.47, 703.08 and 440.01

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Solution

The fourth proportional to 466.47, 703.08 and 440.01 is: 663.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.47 : 703.08 = 440.01 : x
  2. Step 2: Convert to fraction form
    466.47/703.08 = 440.01/x
  3. Step 3: Cross multiply
    466.47x = 703.08 × 440.01
  4. Step 4: Simplify right side
    466.47x = 309,362.23
  5. Step 5: Solve for x
    x = 309,362.23/466.47
  6. Step 6: Final answer
    x = 663.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.