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Finding the Fourth Proportional to 459.42, 689.13 and 202.92

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Solution

The fourth proportional to 459.42, 689.13 and 202.92 is: 304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.42 : 689.13 = 202.92 : x
  2. Step 2: Convert to fraction form
    459.42/689.13 = 202.92/x
  3. Step 3: Cross multiply
    459.42x = 689.13 × 202.92
  4. Step 4: Simplify right side
    459.42x = 139,838.26
  5. Step 5: Solve for x
    x = 139,838.26/459.42
  6. Step 6: Final answer
    x = 304.38

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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.