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Finding the Fourth Proportional to 715.58, 987.41 and 435.83

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Solution

The fourth proportional to 715.58, 987.41 and 435.83 is: 601.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.58 : 987.41 = 435.83 : x
  2. Step 2: Convert to fraction form
    715.58/987.41 = 435.83/x
  3. Step 3: Cross multiply
    715.58x = 987.41 × 435.83
  4. Step 4: Simplify right side
    715.58x = 430,339.05
  5. Step 5: Solve for x
    x = 430,339.05/715.58
  6. Step 6: Final answer
    x = 601.39

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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.