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Finding the Fourth Proportional to 595.48, 893.02 and 205.40

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Solution

The fourth proportional to 595.48, 893.02 and 205.40 is: 308.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.48 : 893.02 = 205.40 : x
  2. Step 2: Convert to fraction form
    595.48/893.02 = 205.40/x
  3. Step 3: Cross multiply
    595.48x = 893.02 × 205.40
  4. Step 4: Simplify right side
    595.48x = 183,426.31
  5. Step 5: Solve for x
    x = 183,426.31/595.48
  6. Step 6: Final answer
    x = 308.03

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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.