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Finding the Fourth Proportional to 435.89, 652.95 and 354.35

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Solution

The fourth proportional to 435.89, 652.95 and 354.35 is: 530.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.89 : 652.95 = 354.35 : x
  2. Step 2: Convert to fraction form
    435.89/652.95 = 354.35/x
  3. Step 3: Cross multiply
    435.89x = 652.95 × 354.35
  4. Step 4: Simplify right side
    435.89x = 231,372.83
  5. Step 5: Solve for x
    x = 231,372.83/435.89
  6. Step 6: Final answer
    x = 530.81

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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.