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Finding the Fourth Proportional to 514.58, 710.09 and 293.53

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Solution

The fourth proportional to 514.58, 710.09 and 293.53 is: 405.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.58 : 710.09 = 293.53 : x
  2. Step 2: Convert to fraction form
    514.58/710.09 = 293.53/x
  3. Step 3: Cross multiply
    514.58x = 710.09 × 293.53
  4. Step 4: Simplify right side
    514.58x = 208,431.25
  5. Step 5: Solve for x
    x = 208,431.25/514.58
  6. Step 6: Final answer
    x = 405.06

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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.