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Finding the Fourth Proportional to 530.08, 729.76 and 504.10

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Solution

The fourth proportional to 530.08, 729.76 and 504.10 is: 693.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.08 : 729.76 = 504.10 : x
  2. Step 2: Convert to fraction form
    530.08/729.76 = 504.10/x
  3. Step 3: Cross multiply
    530.08x = 729.76 × 504.10
  4. Step 4: Simplify right side
    530.08x = 367,872.02
  5. Step 5: Solve for x
    x = 367,872.02/530.08
  6. Step 6: Final answer
    x = 693.99

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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.