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Finding the Fourth Proportional to 517.12, 713.40 and 310

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Solution

The fourth proportional to 517.12, 713.40 and 310 is: 427.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.12 : 713.40 = 310 : x
  2. Step 2: Convert to fraction form
    517.12/713.40 = 310/x
  3. Step 3: Cross multiply
    517.12x = 713.40 × 310
  4. Step 4: Simplify right side
    517.12x = 221,154
  5. Step 5: Solve for x
    x = 221,154/517.12
  6. Step 6: Final answer
    x = 427.66

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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.