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Finding the Fourth Proportional to 357.86, 535.65 and 289.58

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Solution

The fourth proportional to 357.86, 535.65 and 289.58 is: 433.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.86 : 535.65 = 289.58 : x
  2. Step 2: Convert to fraction form
    357.86/535.65 = 289.58/x
  3. Step 3: Cross multiply
    357.86x = 535.65 × 289.58
  4. Step 4: Simplify right side
    357.86x = 155,113.53
  5. Step 5: Solve for x
    x = 155,113.53/357.86
  6. Step 6: Final answer
    x = 433.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.