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Finding the Fourth Proportional to 595.58, 893.28 and 162.77

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Solution

The fourth proportional to 595.58, 893.28 and 162.77 is: 244.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.58 : 893.28 = 162.77 : x
  2. Step 2: Convert to fraction form
    595.58/893.28 = 162.77/x
  3. Step 3: Cross multiply
    595.58x = 893.28 × 162.77
  4. Step 4: Simplify right side
    595.58x = 145,399.19
  5. Step 5: Solve for x
    x = 145,399.19/595.58
  6. Step 6: Final answer
    x = 244.13

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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.