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Finding the Fourth Proportional to 357.58, 533.81 and 341.82

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Solution

The fourth proportional to 357.58, 533.81 and 341.82 is: 510.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.58 : 533.81 = 341.82 : x
  2. Step 2: Convert to fraction form
    357.58/533.81 = 341.82/x
  3. Step 3: Cross multiply
    357.58x = 533.81 × 341.82
  4. Step 4: Simplify right side
    357.58x = 182,465.23
  5. Step 5: Solve for x
    x = 182,465.23/357.58
  6. Step 6: Final answer
    x = 510.28

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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.