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Finding the Fourth Proportional to 530.95, 795.97 and 415.04

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Solution

The fourth proportional to 530.95, 795.97 and 415.04 is: 622.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.95 : 795.97 = 415.04 : x
  2. Step 2: Convert to fraction form
    530.95/795.97 = 415.04/x
  3. Step 3: Cross multiply
    530.95x = 795.97 × 415.04
  4. Step 4: Simplify right side
    530.95x = 330,354.37
  5. Step 5: Solve for x
    x = 330,354.37/530.95
  6. Step 6: Final answer
    x = 622.20

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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.