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Finding the Fourth Proportional to 324, 483.64 and 301.48

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Solution

The fourth proportional to 324, 483.64 and 301.48 is: 450.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    324 : 483.64 = 301.48 : x
  2. Step 2: Convert to fraction form
    324/483.64 = 301.48/x
  3. Step 3: Cross multiply
    324x = 483.64 × 301.48
  4. Step 4: Simplify right side
    324x = 145,807.79
  5. Step 5: Solve for x
    x = 145,807.79/324
  6. Step 6: Final answer
    x = 450.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.