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Finding the Fourth Proportional to 435.16, 600.46 and 258.20

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Solution

The fourth proportional to 435.16, 600.46 and 258.20 is: 356.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.16 : 600.46 = 258.20 : x
  2. Step 2: Convert to fraction form
    435.16/600.46 = 258.20/x
  3. Step 3: Cross multiply
    435.16x = 600.46 × 258.20
  4. Step 4: Simplify right side
    435.16x = 155,038.77
  5. Step 5: Solve for x
    x = 155,038.77/435.16
  6. Step 6: Final answer
    x = 356.28

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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.