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Finding the Fourth Proportional to 364.79, 546.88 and 248.91

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Solution

The fourth proportional to 364.79, 546.88 and 248.91 is: 373.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.79 : 546.88 = 248.91 : x
  2. Step 2: Convert to fraction form
    364.79/546.88 = 248.91/x
  3. Step 3: Cross multiply
    364.79x = 546.88 × 248.91
  4. Step 4: Simplify right side
    364.79x = 136,123.90
  5. Step 5: Solve for x
    x = 136,123.90/364.79
  6. Step 6: Final answer
    x = 373.16

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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.