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Finding the Fourth Proportional to 536.97, 740.70 and 340.32

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Solution

The fourth proportional to 536.97, 740.70 and 340.32 is: 469.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.97 : 740.70 = 340.32 : x
  2. Step 2: Convert to fraction form
    536.97/740.70 = 340.32/x
  3. Step 3: Cross multiply
    536.97x = 740.70 × 340.32
  4. Step 4: Simplify right side
    536.97x = 252,075.02
  5. Step 5: Solve for x
    x = 252,075.02/536.97
  6. Step 6: Final answer
    x = 469.44

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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.