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Finding the Fourth Proportional to 501.21, 753.32 and 415.10

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Solution

The fourth proportional to 501.21, 753.32 and 415.10 is: 623.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.21 : 753.32 = 415.10 : x
  2. Step 2: Convert to fraction form
    501.21/753.32 = 415.10/x
  3. Step 3: Cross multiply
    501.21x = 753.32 × 415.10
  4. Step 4: Simplify right side
    501.21x = 312,702.94
  5. Step 5: Solve for x
    x = 312,702.94/501.21
  6. Step 6: Final answer
    x = 623.90

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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.