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Finding the Fourth Proportional to 365.04, 546.48 and 332.64

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Solution

The fourth proportional to 365.04, 546.48 and 332.64 is: 497.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.04 : 546.48 = 332.64 : x
  2. Step 2: Convert to fraction form
    365.04/546.48 = 332.64/x
  3. Step 3: Cross multiply
    365.04x = 546.48 × 332.64
  4. Step 4: Simplify right side
    365.04x = 181,781.11
  5. Step 5: Solve for x
    x = 181,781.11/365.04
  6. Step 6: Final answer
    x = 497.98

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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.