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Finding the Fourth Proportional to 595.23, 891.63 and 492.63

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Solution

The fourth proportional to 595.23, 891.63 and 492.63 is: 737.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.23 : 891.63 = 492.63 : x
  2. Step 2: Convert to fraction form
    595.23/891.63 = 492.63/x
  3. Step 3: Cross multiply
    595.23x = 891.63 × 492.63
  4. Step 4: Simplify right side
    595.23x = 439,243.69
  5. Step 5: Solve for x
    x = 439,243.69/595.23
  6. Step 6: Final answer
    x = 737.94

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Why These Related Problems?

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