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Finding the Fourth Proportional to 530.87, 732.58 and 418.95

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Solution

The fourth proportional to 530.87, 732.58 and 418.95 is: 578.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.87 : 732.58 = 418.95 : x
  2. Step 2: Convert to fraction form
    530.87/732.58 = 418.95/x
  3. Step 3: Cross multiply
    530.87x = 732.58 × 418.95
  4. Step 4: Simplify right side
    530.87x = 306,913.34
  5. Step 5: Solve for x
    x = 306,913.34/530.87
  6. Step 6: Final answer
    x = 578.14

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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.