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Finding the Fourth Proportional to 369.96, 509.40 and 368.88

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Solution

The fourth proportional to 369.96, 509.40 and 368.88 is: 507.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.96 : 509.40 = 368.88 : x
  2. Step 2: Convert to fraction form
    369.96/509.40 = 368.88/x
  3. Step 3: Cross multiply
    369.96x = 509.40 × 368.88
  4. Step 4: Simplify right side
    369.96x = 187,907.47
  5. Step 5: Solve for x
    x = 187,907.47/369.96
  6. Step 6: Final answer
    x = 507.91

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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.