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Finding the Fourth Proportional to 536.24, 805.07 and 459.70

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Solution

The fourth proportional to 536.24, 805.07 and 459.70 is: 690.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.24 : 805.07 = 459.70 : x
  2. Step 2: Convert to fraction form
    536.24/805.07 = 459.70/x
  3. Step 3: Cross multiply
    536.24x = 805.07 × 459.70
  4. Step 4: Simplify right side
    536.24x = 370,089.82
  5. Step 5: Solve for x
    x = 370,089.82/536.24
  6. Step 6: Final answer
    x = 690.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.