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Finding the Fourth Proportional to 595.16, 893.10 and 229.98

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Solution

The fourth proportional to 595.16, 893.10 and 229.98 is: 345.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.16 : 893.10 = 229.98 : x
  2. Step 2: Convert to fraction form
    595.16/893.10 = 229.98/x
  3. Step 3: Cross multiply
    595.16x = 893.10 × 229.98
  4. Step 4: Simplify right side
    595.16x = 205,395.14
  5. Step 5: Solve for x
    x = 205,395.14/595.16
  6. Step 6: Final answer
    x = 345.11

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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.