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Finding the Fourth Proportional to 520, 717.66 and 313

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Solution

The fourth proportional to 520, 717.66 and 313 is: 431.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    520 : 717.66 = 313 : x
  2. Step 2: Convert to fraction form
    520/717.66 = 313/x
  3. Step 3: Cross multiply
    520x = 717.66 × 313
  4. Step 4: Simplify right side
    520x = 224,627.58
  5. Step 5: Solve for x
    x = 224,627.58/520
  6. Step 6: Final answer
    x = 431.98

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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.