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Finding the Fourth Proportional to 435.84, 650.85 and 358.59

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Solution

The fourth proportional to 435.84, 650.85 and 358.59 is: 535.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.84 : 650.85 = 358.59 : x
  2. Step 2: Convert to fraction form
    435.84/650.85 = 358.59/x
  3. Step 3: Cross multiply
    435.84x = 650.85 × 358.59
  4. Step 4: Simplify right side
    435.84x = 233,388.30
  5. Step 5: Solve for x
    x = 233,388.30/435.84
  6. Step 6: Final answer
    x = 535.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.