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Finding the Fourth Proportional to 434.53, 599.25 and 384.81

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Solution

The fourth proportional to 434.53, 599.25 and 384.81 is: 530.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.53 : 599.25 = 384.81 : x
  2. Step 2: Convert to fraction form
    434.53/599.25 = 384.81/x
  3. Step 3: Cross multiply
    434.53x = 599.25 × 384.81
  4. Step 4: Simplify right side
    434.53x = 230,597.39
  5. Step 5: Solve for x
    x = 230,597.39/434.53
  6. Step 6: Final answer
    x = 530.68

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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.