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Finding the Fourth Proportional to 442.40, 610.32 and 295.04

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Solution

The fourth proportional to 442.40, 610.32 and 295.04 is: 407.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.40 : 610.32 = 295.04 : x
  2. Step 2: Convert to fraction form
    442.40/610.32 = 295.04/x
  3. Step 3: Cross multiply
    442.40x = 610.32 × 295.04
  4. Step 4: Simplify right side
    442.40x = 180,068.81
  5. Step 5: Solve for x
    x = 180,068.81/442.40
  6. Step 6: Final answer
    x = 407.03

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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.