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Finding the Fourth Proportional to 595.92, 897.08 and 536.36

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Solution

The fourth proportional to 595.92, 897.08 and 536.36 is: 807.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.92 : 897.08 = 536.36 : x
  2. Step 2: Convert to fraction form
    595.92/897.08 = 536.36/x
  3. Step 3: Cross multiply
    595.92x = 897.08 × 536.36
  4. Step 4: Simplify right side
    595.92x = 481,157.83
  5. Step 5: Solve for x
    x = 481,157.83/595.92
  6. Step 6: Final answer
    x = 807.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.