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Finding the Fourth Proportional to 530.44, 792.86 and 478.28

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Solution

The fourth proportional to 530.44, 792.86 and 478.28 is: 714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.44 : 792.86 = 478.28 : x
  2. Step 2: Convert to fraction form
    530.44/792.86 = 478.28/x
  3. Step 3: Cross multiply
    530.44x = 792.86 × 478.28
  4. Step 4: Simplify right side
    530.44x = 379,208.67
  5. Step 5: Solve for x
    x = 379,208.67/530.44
  6. Step 6: Final answer
    x = 714.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.