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Finding the Fourth Proportional to 530.15, 794.75 and 497.88

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Solution

The fourth proportional to 530.15, 794.75 and 497.88 is: 746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.15 : 794.75 = 497.88 : x
  2. Step 2: Convert to fraction form
    530.15/794.75 = 497.88/x
  3. Step 3: Cross multiply
    530.15x = 794.75 × 497.88
  4. Step 4: Simplify right side
    530.15x = 395,687.64
  5. Step 5: Solve for x
    x = 395,687.64/530.15
  6. Step 6: Final answer
    x = 746.38

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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.