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Finding the Fourth Proportional to 442.60, 609.93 and 435.52

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Solution

The fourth proportional to 442.60, 609.93 and 435.52 is: 600.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.60 : 609.93 = 435.52 : x
  2. Step 2: Convert to fraction form
    442.60/609.93 = 435.52/x
  3. Step 3: Cross multiply
    442.60x = 609.93 × 435.52
  4. Step 4: Simplify right side
    442.60x = 265,636.71
  5. Step 5: Solve for x
    x = 265,636.71/442.60
  6. Step 6: Final answer
    x = 600.17

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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.