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Finding the Fourth Proportional to 360.88, 538.95 and 357.10

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Solution

The fourth proportional to 360.88, 538.95 and 357.10 is: 533.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.88 : 538.95 = 357.10 : x
  2. Step 2: Convert to fraction form
    360.88/538.95 = 357.10/x
  3. Step 3: Cross multiply
    360.88x = 538.95 × 357.10
  4. Step 4: Simplify right side
    360.88x = 192,459.05
  5. Step 5: Solve for x
    x = 192,459.05/360.88
  6. Step 6: Final answer
    x = 533.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.