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Finding the Fourth Proportional to 509.02, 702.48 and 421.54

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Solution

The fourth proportional to 509.02, 702.48 and 421.54 is: 581.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.02 : 702.48 = 421.54 : x
  2. Step 2: Convert to fraction form
    509.02/702.48 = 421.54/x
  3. Step 3: Cross multiply
    509.02x = 702.48 × 421.54
  4. Step 4: Simplify right side
    509.02x = 296,123.42
  5. Step 5: Solve for x
    x = 296,123.42/509.02
  6. Step 6: Final answer
    x = 581.75

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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.