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Finding the Fourth Proportional to 434.07, 598.95 and 247.57

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Solution

The fourth proportional to 434.07, 598.95 and 247.57 is: 341.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.07 : 598.95 = 247.57 : x
  2. Step 2: Convert to fraction form
    434.07/598.95 = 247.57/x
  3. Step 3: Cross multiply
    434.07x = 598.95 × 247.57
  4. Step 4: Simplify right side
    434.07x = 148,280.55
  5. Step 5: Solve for x
    x = 148,280.55/434.07
  6. Step 6: Final answer
    x = 341.61

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Why These Related Problems?

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