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Finding the Fourth Proportional to 595.34, 893.02 and 282.92

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Solution

The fourth proportional to 595.34, 893.02 and 282.92 is: 424.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.34 : 893.02 = 282.92 : x
  2. Step 2: Convert to fraction form
    595.34/893.02 = 282.92/x
  3. Step 3: Cross multiply
    595.34x = 893.02 × 282.92
  4. Step 4: Simplify right side
    595.34x = 252,653.22
  5. Step 5: Solve for x
    x = 252,653.22/595.34
  6. Step 6: Final answer
    x = 424.38

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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.