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Finding the Fourth Proportional to 465.93, 699.57 and 304.65

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Solution

The fourth proportional to 465.93, 699.57 and 304.65 is: 457.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.93 : 699.57 = 304.65 : x
  2. Step 2: Convert to fraction form
    465.93/699.57 = 304.65/x
  3. Step 3: Cross multiply
    465.93x = 699.57 × 304.65
  4. Step 4: Simplify right side
    465.93x = 213,124.00
  5. Step 5: Solve for x
    x = 213,124.00/465.93
  6. Step 6: Final answer
    x = 457.42

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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.