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Finding the Fourth Proportional to 536.64, 741.12 and 340.32

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Solution

The fourth proportional to 536.64, 741.12 and 340.32 is: 469.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.64 : 741.12 = 340.32 : x
  2. Step 2: Convert to fraction form
    536.64/741.12 = 340.32/x
  3. Step 3: Cross multiply
    536.64x = 741.12 × 340.32
  4. Step 4: Simplify right side
    536.64x = 252,217.96
  5. Step 5: Solve for x
    x = 252,217.96/536.64
  6. Step 6: Final answer
    x = 469.99

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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.