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Finding the Fourth Proportional to 536.61, 740.18 and 347.80

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Solution

The fourth proportional to 536.61, 740.18 and 347.80 is: 479.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.61 : 740.18 = 347.80 : x
  2. Step 2: Convert to fraction form
    536.61/740.18 = 347.80/x
  3. Step 3: Cross multiply
    536.61x = 740.18 × 347.80
  4. Step 4: Simplify right side
    536.61x = 257,431.01
  5. Step 5: Solve for x
    x = 257,431.01/536.61
  6. Step 6: Final answer
    x = 479.74

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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.