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Finding the Fourth Proportional to 464.48, 695.64 and 355.40

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Solution

The fourth proportional to 464.48, 695.64 and 355.40 is: 532.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.48 : 695.64 = 355.40 : x
  2. Step 2: Convert to fraction form
    464.48/695.64 = 355.40/x
  3. Step 3: Cross multiply
    464.48x = 695.64 × 355.40
  4. Step 4: Simplify right side
    464.48x = 247,230.46
  5. Step 5: Solve for x
    x = 247,230.46/464.48
  6. Step 6: Final answer
    x = 532.27

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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.