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Finding the Fourth Proportional to 356.88, 533.88 and 302.16

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Solution

The fourth proportional to 356.88, 533.88 and 302.16 is: 452.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.88 : 533.88 = 302.16 : x
  2. Step 2: Convert to fraction form
    356.88/533.88 = 302.16/x
  3. Step 3: Cross multiply
    356.88x = 533.88 × 302.16
  4. Step 4: Simplify right side
    356.88x = 161,317.18
  5. Step 5: Solve for x
    x = 161,317.18/356.88
  6. Step 6: Final answer
    x = 452.02

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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.