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Finding the Fourth Proportional to 434.19, 598.53 and 384.99

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Solution

The fourth proportional to 434.19, 598.53 and 384.99 is: 530.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.19 : 598.53 = 384.99 : x
  2. Step 2: Convert to fraction form
    434.19/598.53 = 384.99/x
  3. Step 3: Cross multiply
    434.19x = 598.53 × 384.99
  4. Step 4: Simplify right side
    434.19x = 230,428.06
  5. Step 5: Solve for x
    x = 230,428.06/434.19
  6. Step 6: Final answer
    x = 530.71

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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.