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Finding the Fourth Proportional to 420.52, 630.51 and 358.84

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Solution

The fourth proportional to 420.52, 630.51 and 358.84 is: 538.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.52 : 630.51 = 358.84 : x
  2. Step 2: Convert to fraction form
    420.52/630.51 = 358.84/x
  3. Step 3: Cross multiply
    420.52x = 630.51 × 358.84
  4. Step 4: Simplify right side
    420.52x = 226,252.21
  5. Step 5: Solve for x
    x = 226,252.21/420.52
  6. Step 6: Final answer
    x = 538.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.