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Finding the Fourth Proportional to 594.29, 894.65 and 534.75

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Solution

The fourth proportional to 594.29, 894.65 and 534.75 is: 805.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.29 : 894.65 = 534.75 : x
  2. Step 2: Convert to fraction form
    594.29/894.65 = 534.75/x
  3. Step 3: Cross multiply
    594.29x = 894.65 × 534.75
  4. Step 4: Simplify right side
    594.29x = 478,411.41
  5. Step 5: Solve for x
    x = 478,411.41/594.29
  6. Step 6: Final answer
    x = 805.02

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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.