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Finding the Fourth Proportional to 595.86, 894.13 and 271.26

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Solution

The fourth proportional to 595.86, 894.13 and 271.26 is: 407.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.86 : 894.13 = 271.26 : x
  2. Step 2: Convert to fraction form
    595.86/894.13 = 271.26/x
  3. Step 3: Cross multiply
    595.86x = 894.13 × 271.26
  4. Step 4: Simplify right side
    595.86x = 242,541.70
  5. Step 5: Solve for x
    x = 242,541.70/595.86
  6. Step 6: Final answer
    x = 407.04

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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.