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Finding the Fourth Proportional to 364.88, 546.48 and 292.80

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Solution

The fourth proportional to 364.88, 546.48 and 292.80 is: 438.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.88 : 546.48 = 292.80 : x
  2. Step 2: Convert to fraction form
    364.88/546.48 = 292.80/x
  3. Step 3: Cross multiply
    364.88x = 546.48 × 292.80
  4. Step 4: Simplify right side
    364.88x = 160,009.34
  5. Step 5: Solve for x
    x = 160,009.34/364.88
  6. Step 6: Final answer
    x = 438.53

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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.