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Finding the Fourth Proportional to 513.01, 707.74 and 357.85

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Solution

The fourth proportional to 513.01, 707.74 and 357.85 is: 493.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.01 : 707.74 = 357.85 : x
  2. Step 2: Convert to fraction form
    513.01/707.74 = 357.85/x
  3. Step 3: Cross multiply
    513.01x = 707.74 × 357.85
  4. Step 4: Simplify right side
    513.01x = 253,264.76
  5. Step 5: Solve for x
    x = 253,264.76/513.01
  6. Step 6: Final answer
    x = 493.68

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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.