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Finding the Fourth Proportional to 514.90, 710.40 and 305.02

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Solution

The fourth proportional to 514.90, 710.40 and 305.02 is: 420.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.90 : 710.40 = 305.02 : x
  2. Step 2: Convert to fraction form
    514.90/710.40 = 305.02/x
  3. Step 3: Cross multiply
    514.90x = 710.40 × 305.02
  4. Step 4: Simplify right side
    514.90x = 216,686.21
  5. Step 5: Solve for x
    x = 216,686.21/514.90
  6. Step 6: Final answer
    x = 420.83

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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.