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Finding the Fourth Proportional to 434.58, 598.01 and 416.15

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Solution

The fourth proportional to 434.58, 598.01 and 416.15 is: 572.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.58 : 598.01 = 416.15 : x
  2. Step 2: Convert to fraction form
    434.58/598.01 = 416.15/x
  3. Step 3: Cross multiply
    434.58x = 598.01 × 416.15
  4. Step 4: Simplify right side
    434.58x = 248,861.86
  5. Step 5: Solve for x
    x = 248,861.86/434.58
  6. Step 6: Final answer
    x = 572.65

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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.