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Finding the Fourth Proportional to 464.49, 697.55 and 355.95

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Solution

The fourth proportional to 464.49, 697.55 and 355.95 is: 534.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.49 : 697.55 = 355.95 : x
  2. Step 2: Convert to fraction form
    464.49/697.55 = 355.95/x
  3. Step 3: Cross multiply
    464.49x = 697.55 × 355.95
  4. Step 4: Simplify right side
    464.49x = 248,291.14
  5. Step 5: Solve for x
    x = 248,291.14/464.49
  6. Step 6: Final answer
    x = 534.55

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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.