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Finding the Fourth Proportional to 536.58, 740.16 and 339.66

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Solution

The fourth proportional to 536.58, 740.16 and 339.66 is: 468.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.58 : 740.16 = 339.66 : x
  2. Step 2: Convert to fraction form
    536.58/740.16 = 339.66/x
  3. Step 3: Cross multiply
    536.58x = 740.16 × 339.66
  4. Step 4: Simplify right side
    536.58x = 251,402.75
  5. Step 5: Solve for x
    x = 251,402.75/536.58
  6. Step 6: Final answer
    x = 468.53

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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.