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Finding the Fourth Proportional to 530.72, 795.54 and 287.18

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Solution

The fourth proportional to 530.72, 795.54 and 287.18 is: 430.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.72 : 795.54 = 287.18 : x
  2. Step 2: Convert to fraction form
    530.72/795.54 = 287.18/x
  3. Step 3: Cross multiply
    530.72x = 795.54 × 287.18
  4. Step 4: Simplify right side
    530.72x = 228,463.18
  5. Step 5: Solve for x
    x = 228,463.18/530.72
  6. Step 6: Final answer
    x = 430.48

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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.