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Finding the Fourth Proportional to 536.85, 741.74 and 466.70

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Solution

The fourth proportional to 536.85, 741.74 and 466.70 is: 644.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.85 : 741.74 = 466.70 : x
  2. Step 2: Convert to fraction form
    536.85/741.74 = 466.70/x
  3. Step 3: Cross multiply
    536.85x = 741.74 × 466.70
  4. Step 4: Simplify right side
    536.85x = 346,164.02
  5. Step 5: Solve for x
    x = 346,164.02/536.85
  6. Step 6: Final answer
    x = 644.81

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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.