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Finding the Fourth Proportional to 356.10, 532.94 and 295.35

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Solution

The fourth proportional to 356.10, 532.94 and 295.35 is: 442.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.10 : 532.94 = 295.35 : x
  2. Step 2: Convert to fraction form
    356.10/532.94 = 295.35/x
  3. Step 3: Cross multiply
    356.10x = 532.94 × 295.35
  4. Step 4: Simplify right side
    356.10x = 157,402.35
  5. Step 5: Solve for x
    x = 157,402.35/356.10
  6. Step 6: Final answer
    x = 442.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.