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Finding the Fourth Proportional to 434.30, 598.41 and 398.93

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Solution

The fourth proportional to 434.30, 598.41 and 398.93 is: 549.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.30 : 598.41 = 398.93 : x
  2. Step 2: Convert to fraction form
    434.30/598.41 = 398.93/x
  3. Step 3: Cross multiply
    434.30x = 598.41 × 398.93
  4. Step 4: Simplify right side
    434.30x = 238,720.71
  5. Step 5: Solve for x
    x = 238,720.71/434.30
  6. Step 6: Final answer
    x = 549.67

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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.