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Finding the Fourth Proportional to 535.21, 737.70 and 358.10

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Solution

The fourth proportional to 535.21, 737.70 and 358.10 is: 493.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.21 : 737.70 = 358.10 : x
  2. Step 2: Convert to fraction form
    535.21/737.70 = 358.10/x
  3. Step 3: Cross multiply
    535.21x = 737.70 × 358.10
  4. Step 4: Simplify right side
    535.21x = 264,172.48
  5. Step 5: Solve for x
    x = 264,172.48/535.21
  6. Step 6: Final answer
    x = 493.59

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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.