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Finding the Fourth Proportional to 520.12, 717.54 and 313

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Solution

The fourth proportional to 520.12, 717.54 and 313 is: 431.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.12 : 717.54 = 313 : x
  2. Step 2: Convert to fraction form
    520.12/717.54 = 313/x
  3. Step 3: Cross multiply
    520.12x = 717.54 × 313
  4. Step 4: Simplify right side
    520.12x = 224,590.02
  5. Step 5: Solve for x
    x = 224,590.02/520.12
  6. Step 6: Final answer
    x = 431.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.