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Finding the Fourth Proportional to 434.61, 599.57 and 259.89

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Solution

The fourth proportional to 434.61, 599.57 and 259.89 is: 358.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.61 : 599.57 = 259.89 : x
  2. Step 2: Convert to fraction form
    434.61/599.57 = 259.89/x
  3. Step 3: Cross multiply
    434.61x = 599.57 × 259.89
  4. Step 4: Simplify right side
    434.61x = 155,820.95
  5. Step 5: Solve for x
    x = 155,820.95/434.61
  6. Step 6: Final answer
    x = 358.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.