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Finding the Fourth Proportional to 598.04, 895.36 and 392.16

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Solution

The fourth proportional to 598.04, 895.36 and 392.16 is: 587.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.04 : 895.36 = 392.16 : x
  2. Step 2: Convert to fraction form
    598.04/895.36 = 392.16/x
  3. Step 3: Cross multiply
    598.04x = 895.36 × 392.16
  4. Step 4: Simplify right side
    598.04x = 351,124.38
  5. Step 5: Solve for x
    x = 351,124.38/598.04
  6. Step 6: Final answer
    x = 587.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.