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Finding the Fourth Proportional to 369.42, 509.76 and 203.64

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Solution

The fourth proportional to 369.42, 509.76 and 203.64 is: 281.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.42 : 509.76 = 203.64 : x
  2. Step 2: Convert to fraction form
    369.42/509.76 = 203.64/x
  3. Step 3: Cross multiply
    369.42x = 509.76 × 203.64
  4. Step 4: Simplify right side
    369.42x = 103,807.53
  5. Step 5: Solve for x
    x = 103,807.53/369.42
  6. Step 6: Final answer
    x = 281.00

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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.