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Finding the Fourth Proportional to 536.89, 740.63 and 340.09

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Solution

The fourth proportional to 536.89, 740.63 and 340.09 is: 469.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.89 : 740.63 = 340.09 : x
  2. Step 2: Convert to fraction form
    536.89/740.63 = 340.09/x
  3. Step 3: Cross multiply
    536.89x = 740.63 × 340.09
  4. Step 4: Simplify right side
    536.89x = 251,878.00
  5. Step 5: Solve for x
    x = 251,878.00/536.89
  6. Step 6: Final answer
    x = 469.15

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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.