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Finding the Fourth Proportional to 536.62, 742.98 and 526.90

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Solution

The fourth proportional to 536.62, 742.98 and 526.90 is: 729.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.62 : 742.98 = 526.90 : x
  2. Step 2: Convert to fraction form
    536.62/742.98 = 526.90/x
  3. Step 3: Cross multiply
    536.62x = 742.98 × 526.90
  4. Step 4: Simplify right side
    536.62x = 391,476.16
  5. Step 5: Solve for x
    x = 391,476.16/536.62
  6. Step 6: Final answer
    x = 729.52

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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.