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Finding the Fourth Proportional to 501.59, 691.94 and 305.07

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Solution

The fourth proportional to 501.59, 691.94 and 305.07 is: 420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.59 : 691.94 = 305.07 : x
  2. Step 2: Convert to fraction form
    501.59/691.94 = 305.07/x
  3. Step 3: Cross multiply
    501.59x = 691.94 × 305.07
  4. Step 4: Simplify right side
    501.59x = 211,088.30
  5. Step 5: Solve for x
    x = 211,088.30/501.59
  6. Step 6: Final answer
    x = 420.84

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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.