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Finding the Fourth Proportional to 595.84, 893.16 and 230.34

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Solution

The fourth proportional to 595.84, 893.16 and 230.34 is: 345.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.84 : 893.16 = 230.34 : x
  2. Step 2: Convert to fraction form
    595.84/893.16 = 230.34/x
  3. Step 3: Cross multiply
    595.84x = 893.16 × 230.34
  4. Step 4: Simplify right side
    595.84x = 205,730.47
  5. Step 5: Solve for x
    x = 205,730.47/595.84
  6. Step 6: Final answer
    x = 345.28

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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.