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Finding the Fourth Proportional to 616.92, 924.84 and 530.36

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Solution

The fourth proportional to 616.92, 924.84 and 530.36 is: 795.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.92 : 924.84 = 530.36 : x
  2. Step 2: Convert to fraction form
    616.92/924.84 = 530.36/x
  3. Step 3: Cross multiply
    616.92x = 924.84 × 530.36
  4. Step 4: Simplify right side
    616.92x = 490,498.14
  5. Step 5: Solve for x
    x = 490,498.14/616.92
  6. Step 6: Final answer
    x = 795.08

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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.