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Finding the Fourth Proportional to 514.07, 709.13 and 346.08

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Solution

The fourth proportional to 514.07, 709.13 and 346.08 is: 477.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.07 : 709.13 = 346.08 : x
  2. Step 2: Convert to fraction form
    514.07/709.13 = 346.08/x
  3. Step 3: Cross multiply
    514.07x = 709.13 × 346.08
  4. Step 4: Simplify right side
    514.07x = 245,413.98
  5. Step 5: Solve for x
    x = 245,413.98/514.07
  6. Step 6: Final answer
    x = 477.40

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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.