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Finding the Fourth Proportional to 530.42, 729.41 and 424.17

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Solution

The fourth proportional to 530.42, 729.41 and 424.17 is: 583.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.42 : 729.41 = 424.17 : x
  2. Step 2: Convert to fraction form
    530.42/729.41 = 424.17/x
  3. Step 3: Cross multiply
    530.42x = 729.41 × 424.17
  4. Step 4: Simplify right side
    530.42x = 309,391.72
  5. Step 5: Solve for x
    x = 309,391.72/530.42
  6. Step 6: Final answer
    x = 583.30

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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.