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Finding the Fourth Proportional to 530.15, 791.81 and 457.25

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Solution

The fourth proportional to 530.15, 791.81 and 457.25 is: 682.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.15 : 791.81 = 457.25 : x
  2. Step 2: Convert to fraction form
    530.15/791.81 = 457.25/x
  3. Step 3: Cross multiply
    530.15x = 791.81 × 457.25
  4. Step 4: Simplify right side
    530.15x = 362,058.25
  5. Step 5: Solve for x
    x = 362,058.25/530.15
  6. Step 6: Final answer
    x = 682.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.