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Finding the Fourth Proportional to 532.95, 795.18 and 455.04

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Solution

The fourth proportional to 532.95, 795.18 and 455.04 is: 678.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.95 : 795.18 = 455.04 : x
  2. Step 2: Convert to fraction form
    532.95/795.18 = 455.04/x
  3. Step 3: Cross multiply
    532.95x = 795.18 × 455.04
  4. Step 4: Simplify right side
    532.95x = 361,838.71
  5. Step 5: Solve for x
    x = 361,838.71/532.95
  6. Step 6: Final answer
    x = 678.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.