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Finding the Fourth Proportional to 595.48, 893.17 and 162.63

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Solution

The fourth proportional to 595.48, 893.17 and 162.63 is: 243.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.48 : 893.17 = 162.63 : x
  2. Step 2: Convert to fraction form
    595.48/893.17 = 162.63/x
  3. Step 3: Cross multiply
    595.48x = 893.17 × 162.63
  4. Step 4: Simplify right side
    595.48x = 145,256.24
  5. Step 5: Solve for x
    x = 145,256.24/595.48
  6. Step 6: Final answer
    x = 243.93

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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.