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Finding the Fourth Proportional to 536.95, 740.64 and 426.25

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Solution

The fourth proportional to 536.95, 740.64 and 426.25 is: 587.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.95 : 740.64 = 426.25 : x
  2. Step 2: Convert to fraction form
    536.95/740.64 = 426.25/x
  3. Step 3: Cross multiply
    536.95x = 740.64 × 426.25
  4. Step 4: Simplify right side
    536.95x = 315,697.80
  5. Step 5: Solve for x
    x = 315,697.80/536.95
  6. Step 6: Final answer
    x = 587.95

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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.