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Finding the Fourth Proportional to 434.37, 598.72 and 303.15

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Solution

The fourth proportional to 434.37, 598.72 and 303.15 is: 417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.37 : 598.72 = 303.15 : x
  2. Step 2: Convert to fraction form
    434.37/598.72 = 303.15/x
  3. Step 3: Cross multiply
    434.37x = 598.72 × 303.15
  4. Step 4: Simplify right side
    434.37x = 181,501.97
  5. Step 5: Solve for x
    x = 181,501.97/434.37
  6. Step 6: Final answer
    x = 417.85

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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.