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Finding the Fourth Proportional to 358.34, 493.02 and 288

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Solution

The fourth proportional to 358.34, 493.02 and 288 is: 396.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.34 : 493.02 = 288 : x
  2. Step 2: Convert to fraction form
    358.34/493.02 = 288/x
  3. Step 3: Cross multiply
    358.34x = 493.02 × 288
  4. Step 4: Simplify right side
    358.34x = 141,989.76
  5. Step 5: Solve for x
    x = 141,989.76/358.34
  6. Step 6: Final answer
    x = 396.25

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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.