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Finding the Fourth Proportional to 514.65, 710.20 and 302.00

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Solution

The fourth proportional to 514.65, 710.20 and 302.00 is: 416.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.65 : 710.20 = 302.00 : x
  2. Step 2: Convert to fraction form
    514.65/710.20 = 302.00/x
  3. Step 3: Cross multiply
    514.65x = 710.20 × 302.00
  4. Step 4: Simplify right side
    514.65x = 214,481.42
  5. Step 5: Solve for x
    x = 214,481.42/514.65
  6. Step 6: Final answer
    x = 416.75

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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.