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Finding the Fourth Proportional to 530.64, 795.12 and 454.32

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Solution

The fourth proportional to 530.64, 795.12 and 454.32 is: 680.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.64 : 795.12 = 454.32 : x
  2. Step 2: Convert to fraction form
    530.64/795.12 = 454.32/x
  3. Step 3: Cross multiply
    530.64x = 795.12 × 454.32
  4. Step 4: Simplify right side
    530.64x = 361,238.92
  5. Step 5: Solve for x
    x = 361,238.92/530.64
  6. Step 6: Final answer
    x = 680.76

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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.