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Finding the Fourth Proportional to 436.70, 602.52 and 259.58

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Solution

The fourth proportional to 436.70, 602.52 and 259.58 is: 358.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.70 : 602.52 = 259.58 : x
  2. Step 2: Convert to fraction form
    436.70/602.52 = 259.58/x
  3. Step 3: Cross multiply
    436.70x = 602.52 × 259.58
  4. Step 4: Simplify right side
    436.70x = 156,402.14
  5. Step 5: Solve for x
    x = 156,402.14/436.70
  6. Step 6: Final answer
    x = 358.15

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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.