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Finding the Fourth Proportional to 505.79, 697.61 and 373.05

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Solution

The fourth proportional to 505.79, 697.61 and 373.05 is: 514.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.79 : 697.61 = 373.05 : x
  2. Step 2: Convert to fraction form
    505.79/697.61 = 373.05/x
  3. Step 3: Cross multiply
    505.79x = 697.61 × 373.05
  4. Step 4: Simplify right side
    505.79x = 260,241.55
  5. Step 5: Solve for x
    x = 260,241.55/505.79
  6. Step 6: Final answer
    x = 514.53

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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.