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Finding the Fourth Proportional to 482.40, 664.95 and 464.16

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Solution

The fourth proportional to 482.40, 664.95 and 464.16 is: 639.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.40 : 664.95 = 464.16 : x
  2. Step 2: Convert to fraction form
    482.40/664.95 = 464.16/x
  3. Step 3: Cross multiply
    482.40x = 664.95 × 464.16
  4. Step 4: Simplify right side
    482.40x = 308,643.19
  5. Step 5: Solve for x
    x = 308,643.19/482.40
  6. Step 6: Final answer
    x = 639.81

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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.