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Finding the Fourth Proportional to 530.04, 795.06 and 408.48

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Solution

The fourth proportional to 530.04, 795.06 and 408.48 is: 612.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.04 : 795.06 = 408.48 : x
  2. Step 2: Convert to fraction form
    530.04/795.06 = 408.48/x
  3. Step 3: Cross multiply
    530.04x = 795.06 × 408.48
  4. Step 4: Simplify right side
    530.04x = 324,766.11
  5. Step 5: Solve for x
    x = 324,766.11/530.04
  6. Step 6: Final answer
    x = 612.72

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