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Finding the Fourth Proportional to 535.14, 737.76 and 358.11

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Solution

The fourth proportional to 535.14, 737.76 and 358.11 is: 493.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.14 : 737.76 = 358.11 : x
  2. Step 2: Convert to fraction form
    535.14/737.76 = 358.11/x
  3. Step 3: Cross multiply
    535.14x = 737.76 × 358.11
  4. Step 4: Simplify right side
    535.14x = 264,199.23
  5. Step 5: Solve for x
    x = 264,199.23/535.14
  6. Step 6: Final answer
    x = 493.70

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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.