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Finding the Fourth Proportional to 536.63, 800.51 and 454.88

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Solution

The fourth proportional to 536.63, 800.51 and 454.88 is: 678.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.63 : 800.51 = 454.88 : x
  2. Step 2: Convert to fraction form
    536.63/800.51 = 454.88/x
  3. Step 3: Cross multiply
    536.63x = 800.51 × 454.88
  4. Step 4: Simplify right side
    536.63x = 364,129.71
  5. Step 5: Solve for x
    x = 364,129.71/536.63
  6. Step 6: Final answer
    x = 678.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.