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Finding the Fourth Proportional to 501.29, 691.58 and 302.18

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Solution

The fourth proportional to 501.29, 691.58 and 302.18 is: 416.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.29 : 691.58 = 302.18 : x
  2. Step 2: Convert to fraction form
    501.29/691.58 = 302.18/x
  3. Step 3: Cross multiply
    501.29x = 691.58 × 302.18
  4. Step 4: Simplify right side
    501.29x = 208,978.94
  5. Step 5: Solve for x
    x = 208,978.94/501.29
  6. Step 6: Final answer
    x = 416.89

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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.