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Finding the Fourth Proportional to 464.24, 693.10 and 383.24

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Solution

The fourth proportional to 464.24, 693.10 and 383.24 is: 572.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.24 : 693.10 = 383.24 : x
  2. Step 2: Convert to fraction form
    464.24/693.10 = 383.24/x
  3. Step 3: Cross multiply
    464.24x = 693.10 × 383.24
  4. Step 4: Simplify right side
    464.24x = 265,623.64
  5. Step 5: Solve for x
    x = 265,623.64/464.24
  6. Step 6: Final answer
    x = 572.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.