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Finding the Fourth Proportional to 304.74, 459.68 and 295.02

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Solution

The fourth proportional to 304.74, 459.68 and 295.02 is: 445.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.74 : 459.68 = 295.02 : x
  2. Step 2: Convert to fraction form
    304.74/459.68 = 295.02/x
  3. Step 3: Cross multiply
    304.74x = 459.68 × 295.02
  4. Step 4: Simplify right side
    304.74x = 135,613.32
  5. Step 5: Solve for x
    x = 135,613.32/304.74
  6. Step 6: Final answer
    x = 445.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.