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Finding the Fourth Proportional to 468.18, 702 and 441

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Solution

The fourth proportional to 468.18, 702 and 441 is: 661.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.18 : 702 = 441 : x
  2. Step 2: Convert to fraction form
    468.18/702 = 441/x
  3. Step 3: Cross multiply
    468.18x = 702 × 441
  4. Step 4: Simplify right side
    468.18x = 309,582
  5. Step 5: Solve for x
    x = 309,582/468.18
  6. Step 6: Final answer
    x = 661.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.