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Finding the Fourth Proportional to 530.95, 732.69 and 298.07

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Solution

The fourth proportional to 530.95, 732.69 and 298.07 is: 411.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.95 : 732.69 = 298.07 : x
  2. Step 2: Convert to fraction form
    530.95/732.69 = 298.07/x
  3. Step 3: Cross multiply
    530.95x = 732.69 × 298.07
  4. Step 4: Simplify right side
    530.95x = 218,392.91
  5. Step 5: Solve for x
    x = 218,392.91/530.95
  6. Step 6: Final answer
    x = 411.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.