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Finding the Fourth Proportional to 435.84, 601.44 and 258.88

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Solution

The fourth proportional to 435.84, 601.44 and 258.88 is: 357.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.84 : 601.44 = 258.88 : x
  2. Step 2: Convert to fraction form
    435.84/601.44 = 258.88/x
  3. Step 3: Cross multiply
    435.84x = 601.44 × 258.88
  4. Step 4: Simplify right side
    435.84x = 155,700.79
  5. Step 5: Solve for x
    x = 155,700.79/435.84
  6. Step 6: Final answer
    x = 357.24

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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.