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Finding the Fourth Proportional to 369.37, 510.24 and 320.23

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Solution

The fourth proportional to 369.37, 510.24 and 320.23 is: 442.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.37 : 510.24 = 320.23 : x
  2. Step 2: Convert to fraction form
    369.37/510.24 = 320.23/x
  3. Step 3: Cross multiply
    369.37x = 510.24 × 320.23
  4. Step 4: Simplify right side
    369.37x = 163,394.16
  5. Step 5: Solve for x
    x = 163,394.16/369.37
  6. Step 6: Final answer
    x = 442.36

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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.