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Finding the Fourth Proportional to 364.93, 546.98 and 228.01

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Solution

The fourth proportional to 364.93, 546.98 and 228.01 is: 341.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.93 : 546.98 = 228.01 : x
  2. Step 2: Convert to fraction form
    364.93/546.98 = 228.01/x
  3. Step 3: Cross multiply
    364.93x = 546.98 × 228.01
  4. Step 4: Simplify right side
    364.93x = 124,715.77
  5. Step 5: Solve for x
    x = 124,715.77/364.93
  6. Step 6: Final answer
    x = 341.75

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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.