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Finding the Fourth Proportional to 514.83, 710.40 and 315.75

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Solution

The fourth proportional to 514.83, 710.40 and 315.75 is: 435.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.83 : 710.40 = 315.75 : x
  2. Step 2: Convert to fraction form
    514.83/710.40 = 315.75/x
  3. Step 3: Cross multiply
    514.83x = 710.40 × 315.75
  4. Step 4: Simplify right side
    514.83x = 224,308.80
  5. Step 5: Solve for x
    x = 224,308.80/514.83
  6. Step 6: Final answer
    x = 435.69

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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.