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Finding the Fourth Proportional to 536.84, 741.07 and 337.85

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Solution

The fourth proportional to 536.84, 741.07 and 337.85 is: 466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.84 : 741.07 = 337.85 : x
  2. Step 2: Convert to fraction form
    536.84/741.07 = 337.85/x
  3. Step 3: Cross multiply
    536.84x = 741.07 × 337.85
  4. Step 4: Simplify right side
    536.84x = 250,368.86
  5. Step 5: Solve for x
    x = 250,368.86/536.84
  6. Step 6: Final answer
    x = 466.38

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1.5x scale

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.