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Finding the Fourth Proportional to 530.29, 793.19 and 456.58

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Solution

The fourth proportional to 530.29, 793.19 and 456.58 is: 682.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.29 : 793.19 = 456.58 : x
  2. Step 2: Convert to fraction form
    530.29/793.19 = 456.58/x
  3. Step 3: Cross multiply
    530.29x = 793.19 × 456.58
  4. Step 4: Simplify right side
    530.29x = 362,150.72
  5. Step 5: Solve for x
    x = 362,150.72/530.29
  6. Step 6: Final answer
    x = 682.94

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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.