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Finding the Fourth Proportional to 458.03, 632.21 and 384.23

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Solution

The fourth proportional to 458.03, 632.21 and 384.23 is: 530.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.03 : 632.21 = 384.23 : x
  2. Step 2: Convert to fraction form
    458.03/632.21 = 384.23/x
  3. Step 3: Cross multiply
    458.03x = 632.21 × 384.23
  4. Step 4: Simplify right side
    458.03x = 242,913.71
  5. Step 5: Solve for x
    x = 242,913.71/458.03
  6. Step 6: Final answer
    x = 530.34

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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.