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Finding the Fourth Proportional to 615.42, 923.04 and 204.84

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Solution

The fourth proportional to 615.42, 923.04 and 204.84 is: 307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.42 : 923.04 = 204.84 : x
  2. Step 2: Convert to fraction form
    615.42/923.04 = 204.84/x
  3. Step 3: Cross multiply
    615.42x = 923.04 × 204.84
  4. Step 4: Simplify right side
    615.42x = 189,075.51
  5. Step 5: Solve for x
    x = 189,075.51/615.42
  6. Step 6: Final answer
    x = 307.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.