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Finding the Fourth Proportional to 426.90, 587.58 and 364.52

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Solution

The fourth proportional to 426.90, 587.58 and 364.52 is: 501.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.90 : 587.58 = 364.52 : x
  2. Step 2: Convert to fraction form
    426.90/587.58 = 364.52/x
  3. Step 3: Cross multiply
    426.90x = 587.58 × 364.52
  4. Step 4: Simplify right side
    426.90x = 214,184.66
  5. Step 5: Solve for x
    x = 214,184.66/426.90
  6. Step 6: Final answer
    x = 501.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.