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Finding the Fourth Proportional to 530.88, 797.70 and 498.08

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Solution

The fourth proportional to 530.88, 797.70 and 498.08 is: 748.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.88 : 797.70 = 498.08 : x
  2. Step 2: Convert to fraction form
    530.88/797.70 = 498.08/x
  3. Step 3: Cross multiply
    530.88x = 797.70 × 498.08
  4. Step 4: Simplify right side
    530.88x = 397,318.42
  5. Step 5: Solve for x
    x = 397,318.42/530.88
  6. Step 6: Final answer
    x = 748.41

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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.