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Finding the Fourth Proportional to 514.88, 710.51 and 305.06

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Solution

The fourth proportional to 514.88, 710.51 and 305.06 is: 420.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.88 : 710.51 = 305.06 : x
  2. Step 2: Convert to fraction form
    514.88/710.51 = 305.06/x
  3. Step 3: Cross multiply
    514.88x = 710.51 × 305.06
  4. Step 4: Simplify right side
    514.88x = 216,743.10
  5. Step 5: Solve for x
    x = 216,743.10/514.88
  6. Step 6: Final answer
    x = 420.96

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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.