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Finding the Fourth Proportional to 536.80, 740.73 and 497.62

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Solution

The fourth proportional to 536.80, 740.73 and 497.62 is: 686.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.80 : 740.73 = 497.62 : x
  2. Step 2: Convert to fraction form
    536.80/740.73 = 497.62/x
  3. Step 3: Cross multiply
    536.80x = 740.73 × 497.62
  4. Step 4: Simplify right side
    536.80x = 368,602.06
  5. Step 5: Solve for x
    x = 368,602.06/536.80
  6. Step 6: Final answer
    x = 686.67

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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.