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Finding the Fourth Proportional to 530.72, 797.30 and 377.02

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Solution

The fourth proportional to 530.72, 797.30 and 377.02 is: 566.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.72 : 797.30 = 377.02 : x
  2. Step 2: Convert to fraction form
    530.72/797.30 = 377.02/x
  3. Step 3: Cross multiply
    530.72x = 797.30 × 377.02
  4. Step 4: Simplify right side
    530.72x = 300,598.05
  5. Step 5: Solve for x
    x = 300,598.05/530.72
  6. Step 6: Final answer
    x = 566.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.