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Finding the Fourth Proportional to 632.66, 873.14 and 384.04

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Solution

The fourth proportional to 632.66, 873.14 and 384.04 is: 530.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.66 : 873.14 = 384.04 : x
  2. Step 2: Convert to fraction form
    632.66/873.14 = 384.04/x
  3. Step 3: Cross multiply
    632.66x = 873.14 × 384.04
  4. Step 4: Simplify right side
    632.66x = 335,314.40
  5. Step 5: Solve for x
    x = 335,314.40/632.66
  6. Step 6: Final answer
    x = 530.01

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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.