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Finding the Fourth Proportional to 364.58, 548.93 and 321.53

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Solution

The fourth proportional to 364.58, 548.93 and 321.53 is: 484.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.58 : 548.93 = 321.53 : x
  2. Step 2: Convert to fraction form
    364.58/548.93 = 321.53/x
  3. Step 3: Cross multiply
    364.58x = 548.93 × 321.53
  4. Step 4: Simplify right side
    364.58x = 176,495.52
  5. Step 5: Solve for x
    x = 176,495.52/364.58
  6. Step 6: Final answer
    x = 484.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.