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Finding the Fourth Proportional to 374.22, 561.60 and 258.66

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Solution

The fourth proportional to 374.22, 561.60 and 258.66 is: 388.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.22 : 561.60 = 258.66 : x
  2. Step 2: Convert to fraction form
    374.22/561.60 = 258.66/x
  3. Step 3: Cross multiply
    374.22x = 561.60 × 258.66
  4. Step 4: Simplify right side
    374.22x = 145,263.46
  5. Step 5: Solve for x
    x = 145,263.46/374.22
  6. Step 6: Final answer
    x = 388.18

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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.