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Finding the Fourth Proportional to 304.96, 459.72 and 284.08

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Solution

The fourth proportional to 304.96, 459.72 and 284.08 is: 428.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.96 : 459.72 = 284.08 : x
  2. Step 2: Convert to fraction form
    304.96/459.72 = 284.08/x
  3. Step 3: Cross multiply
    304.96x = 459.72 × 284.08
  4. Step 4: Simplify right side
    304.96x = 130,597.26
  5. Step 5: Solve for x
    x = 130,597.26/304.96
  6. Step 6: Final answer
    x = 428.24

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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.