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Finding the Fourth Proportional to 595.69, 894.11 and 287.76

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Solution

The fourth proportional to 595.69, 894.11 and 287.76 is: 431.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.69 : 894.11 = 287.76 : x
  2. Step 2: Convert to fraction form
    595.69/894.11 = 287.76/x
  3. Step 3: Cross multiply
    595.69x = 894.11 × 287.76
  4. Step 4: Simplify right side
    595.69x = 257,289.09
  5. Step 5: Solve for x
    x = 257,289.09/595.69
  6. Step 6: Final answer
    x = 431.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.