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Finding the Fourth Proportional to 530.60, 799.02 and 462.92

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Solution

The fourth proportional to 530.60, 799.02 and 462.92 is: 697.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.60 : 799.02 = 462.92 : x
  2. Step 2: Convert to fraction form
    530.60/799.02 = 462.92/x
  3. Step 3: Cross multiply
    530.60x = 799.02 × 462.92
  4. Step 4: Simplify right side
    530.60x = 369,878.34
  5. Step 5: Solve for x
    x = 369,878.34/530.60
  6. Step 6: Final answer
    x = 697.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.