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Finding the Fourth Proportional to 464.53, 642.45 and 412.83

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Solution

The fourth proportional to 464.53, 642.45 and 412.83 is: 570.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.53 : 642.45 = 412.83 : x
  2. Step 2: Convert to fraction form
    464.53/642.45 = 412.83/x
  3. Step 3: Cross multiply
    464.53x = 642.45 × 412.83
  4. Step 4: Simplify right side
    464.53x = 265,222.63
  5. Step 5: Solve for x
    x = 265,222.63/464.53
  6. Step 6: Final answer
    x = 570.95

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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.