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Finding the Fourth Proportional to 575.52, 792.63 and 530.16

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Solution

The fourth proportional to 575.52, 792.63 and 530.16 is: 730.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.52 : 792.63 = 530.16 : x
  2. Step 2: Convert to fraction form
    575.52/792.63 = 530.16/x
  3. Step 3: Cross multiply
    575.52x = 792.63 × 530.16
  4. Step 4: Simplify right side
    575.52x = 420,220.72
  5. Step 5: Solve for x
    x = 420,220.72/575.52
  6. Step 6: Final answer
    x = 730.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.