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Finding the Fourth Proportional to 514.68, 709.98 and 340.04

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Solution

The fourth proportional to 514.68, 709.98 and 340.04 is: 469.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.68 : 709.98 = 340.04 : x
  2. Step 2: Convert to fraction form
    514.68/709.98 = 340.04/x
  3. Step 3: Cross multiply
    514.68x = 709.98 × 340.04
  4. Step 4: Simplify right side
    514.68x = 241,421.60
  5. Step 5: Solve for x
    x = 241,421.60/514.68
  6. Step 6: Final answer
    x = 469.07

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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.